It completely slipped my mind that MySQL was already installed on this particular computer and I installed MariaDB, I was also unaware of the consequences of having both packages on the same computer, I've been trying to uninstall completely both installations and remove dependencies for both of them.
I've looked online for several tutorials on how to do this and I am still having trouble running MySQL, below you will find screen captures of the terminal window as well as a list of many of the attempted solutions I have tried, unfortunately I have attempted so many that I am unable to recall the order in which I have tried them, I only want to have a working installation of MySQL but somehow there is something I am unable to remove from the previous installations and MySQL installation is not working, I get dpkg: warnings. Any and all help will be extremely appreciated. (Ubuntu 20.04)

This is a screen capture of the terminal window.

homeserver@ubuserv:~/Desktop$ ps ax | grep mysql

   4958 pts/0    S+     0:00 grep --color=auto mysql

homeserver@ubuserv:~/Desktop$ sudo mysql_secure_installation utility

[sudo] password for homeserver: 



Securing the MySQL server deployment.



Enter password for user root: 

Error: Can't connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2)

homeserver@ubuserv:~/Desktop$ mysql --version

mysql  Ver 8.0.20-0ubuntu0.20.04.1 for Linux on x86_64 ((Ubuntu))

homeserver@ubuserv:~/Desktop$ sudo systemctl stop mysql

Failed to stop mysql.service: Unit mysql.service not loaded.

homeserver@ubuserv:~/Desktop$ sudo systemctl stop mysql

Failed to stop mysql.service: Unit mysql.service not loaded.

homeserver@ubuserv:~/Desktop$ mysql -u root

ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2)

homeserver@ubuserv:~/Desktop$ sudo apt install synaptic

Reading package lists... Done

Building dependency tree       

Reading state information... Done

synaptic is already the newest version (0.84.6ubuntu5).

The following packages were automatically installed and are no longer required:

  hplip-data printer-driver-postscript-hp python3-renderpm

  python3-reportlab python3-reportlab-accel

Use 'sudo apt autoremove' to remove them.

0 upgraded, 0 newly installed, 0 to remove and 10 not upgraded.



homeserver@ubuserv:~/Desktop$ sudo service mysql restart

[sudo] password for homeserver: 

Failed to restart mysql.service: Unit mysql.service not found.

homeserver@ubuserv:~/Desktop$ apt search mysql | grep "[install"

WARNING: apt does not have a stable CLI interface. Use with caution in scripts.

libdbi-perl/focal,now 1.643-1 amd64 [installed]

libmysqlclient21/focal-updates,focal-security,now 8.0.20-0ubuntu0.20.04.1 amd64 [installed]

librdf0/focal,now 1.0.17-1.1ubuntu1 amd64 [installed,automatic]

mysql-client-8.0/focal-updates,focal-security,now 8.0.20-0ubuntu0.20.04.1 amd64 [installed]

mysql-client-core-8.0/focal-updates,focal-security,now 8.0.20-0ubuntu0.20.04.1 amd64 [installed]

mysql-common/focal,focal,now 5.8+1.0.5ubuntu2 all [installed]

mysql-server/focal-updates,focal-updates,focal-security,focal-security,now 8.0.20-0ubuntu0.20.04.1 all [installed]

mysql-server-8.0/focal-updates,focal-security,now 8.0.20-0ubuntu0.20.04.1 amd64 [installed]

mysql-server-core-8.0/focal-updates,focal-security,now 8.0.20-0ubuntu0.20.04.1 amd64 [installed]

rsyslog/focal,now 8.2001.0-1ubuntu1 amd64 [installed,automatic]

homeserver@ubuserv:~/Desktop$ sudo apt -f install mysql-server

[sudo] password for homeserver: 

Reading package lists... Done

Building dependency tree       

Reading state information... Done

mysql-server is already the newest version (8.0.20-0ubuntu0.20.04.1).

0 upgraded, 0 newly installed, 0 to remove and 10 not upgraded.

homeserver@ubuserv:~/Desktop$ sudo apt -f install mysql-client

Reading package lists... Done

Building dependency tree       

Reading state information... Done

The following NEW packages will be installed:

  mysql-client

0 upgraded, 1 newly installed, 0 to remove and 10 not upgraded.

Need to get 9.424 B of archives.

After this operation, 110 kB of additional disk space will be used.

Get:1 http://archive.ubuntu.com/ubuntu focal-updates/main amd64 mysql-client all 8.0.20-0ubuntu0.20.04.1 [9.424 B]

Fetched 9.424 B in 1s (14,4 kB/s)       

Selecting previously unselected package mysql-client.

dpkg: warning: files list file for package 'mysql-server-8.0' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-common' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-client-core-8.0' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-server-core-8.0' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-client-8.0' missing; assuming package has no files currently installed

(Reading database ... 223970 files and directories currently installed.)

Preparing to unpack .../mysql-client_8.0.20-0ubuntu0.20.04.1_all.deb ...

Unpacking mysql-client (8.0.20-0ubuntu0.20.04.1) ...

Setting up mysql-client (8.0.20-0ubuntu0.20.04.1) ...

homeserver@ubuserv:~/Desktop$ dir

homeserver@ubuserv:~/Desktop$ cd ..

homeserver@ubuserv:~$ dir

Desktop  Documents  Downloads  Music  Pictures  Public  snap  Templates  Videos

homeserver@ubuserv:~$ cd Downloads

homeserver@ubuserv:~/Downloads$ dir

bprocessor-M11.zip    ClientBridgeWorking.bin        RepeaterBridgeWorking3.bin

ClientBridgeWorking2.bin  mysql-apt-config_0.8.15-1_all.deb  teamviewer_15.5.3_amd64.deb

homeserver@ubuserv:~/Downloads$ sudo dpkg -i mysql-apt-config_0.8.15-1_all.deb

Selecting previously unselected package mysql-apt-config.

dpkg: warning: files list file for package 'mysql-server-8.0' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-common' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-client-core-8.0' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-server-core-8.0' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-client-8.0' missing; assuming package has no files currently installed

(Reading database ... 223974 files and directories currently installed.)

Preparing to unpack mysql-apt-config_0.8.15-1_all.deb ...

Unpacking mysql-apt-config (0.8.15-1) ...

Setting up mysql-apt-config (0.8.15-1) ...

Warning: apt-key should not be used in scripts (called from postinst maintainerscript of the package mysql-apt-config)

OK

homeserver@ubuserv:~/Downloads$ sudo service mysql status

Unit mysql.service could not be found.

homeserver@ubuserv:~/Downloads$ sudo service mysql start

Failed to start mysql.service: Unit mysql.service not found.

homeserver@ubuserv:~/Downloads$ sudo dpkg -P mysql

dpkg: warning: ignoring request to remove mysql which isn't installed

homeserver@ubuserv:~/Downloads$ sudo apt-get install --reinstall mysql-server

Reading package lists... Done

Building dependency tree       

Reading state information... Done

0 upgraded, 0 newly installed, 1 reinstalled, 0 to remove and 10 not upgraded.

Need to get 9.540 B of archives.

After this operation, 0 B of additional disk space will be used.

Get:1 http://archive.ubuntu.com/ubuntu focal-updates/main amd64 mysql-server all 8.0.20-0ubuntu0.20.04.1 [9.540 B]

Fetched 9.540 B in 1s (17,6 kB/s)       

dpkg: warning: files list file for package 'mysql-server-8.0' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-common' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-client-core-8.0' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-server-core-8.0' missing; assuming package has no files currently installed

dpkg: warning: files list file for package 'mysql-client-8.0' missing; assuming package has no files currently installed

(Reading database ... 223979 files and directories currently installed.)

Preparing to unpack .../mysql-server_8.0.20-0ubuntu0.20.04.1_all.deb ...

Unpacking mysql-server (8.0.20-0ubuntu0.20.04.1) over (8.0.20-0ubuntu0.20.04.1) ...

Setting up mysql-server (8.0.20-0ubuntu0.20.04.1) ...

SU terminal

homeserver@ubuserv:~/Desktop$ mysql -u root

ERROR 2002 (HY000): Can't connect to local MySQL server through socket '/var/run/mysqld/mysqld.sock' (2)

homeserver@ubuserv:~/Desktop$ sudo apt install synaptic

Reading package lists... Done

Building dependency tree       

Reading state information... Done

synaptic is already the newest version (0.84.6ubuntu5).

The following packages were automatically installed and are no longer required:

  hplip-data printer-driver-postscript-hp python3-renderpm

  python3-reportlab python3-reportlab-accel

Use 'sudo apt autoremove' to remove them.

0 upgraded, 0 newly installed, 0 to remove and 10 not upgraded.

homeserver@ubuserv:~/Desktop$ synaptic

homeserver@ubuserv:~/Desktop$ sudo su

root@ubuserv:/home/homeserver/Desktop# synaptic

root@ubuserv:/home/homeserver/Desktop# gksu synaptic



Command 'gksu' not found, did you mean:



  command 'gosu' from deb gosu (1.10-1)

  command 'ksu' from deb heimdal-clients (7.7.0+dfsg-1ubuntu1)

  command 'ksu' from deb krb5-user (1.17-6ubuntu4)



Try: apt install <deb name>



root@ubuserv:/home/homeserver/Desktop# gksu synaptic



Command 'gksu' not found, did you mean:



  command 'ksu' from deb heimdal-clients (7.7.0+dfsg-1ubuntu1)

  command 'ksu' from deb krb5-user (1.17-6ubuntu4)

  command 'gosu' from deb gosu (1.10-1)



Try: apt install <deb name>



root@ubuserv:/home/homeserver/Desktop# synaptic admin://

root@ubuserv:/home/homeserver/Desktop# xhost +si:localuser:root

localuser:root being added to access control list

root@ubuserv:/home/homeserver/Desktop# synaptic

^C

root@ubuserv:/home/homeserver/Desktop# synaptic

root@ubuserv:/home/homeserver/Desktop# synaptic

root@ubuserv:/home/homeserver/Desktop# synaptic

^C

root@ubuserv:/home/homeserver/Desktop# synaptic

root@ubuserv:/home/homeserver/Desktop# synaptic

root@ubuserv:/home/homeserver/Desktop# cd..

cd..: command not found

root@ubuserv:/home/homeserver/Desktop# cd ..

root@ubuserv:/home/homeserver# cd ..

root@ubuserv:/home# cd ..

root@ubuserv:/# cd ..

root@ubuserv:/# dir

bin    dev   lib    libx32  mnt   root  snap      sys  var

boot   etc   lib32  lost+found  opt   run   srv       tmp

cdrom  home  lib64  media   proc  sbin  swapfile  usr

root@ubuserv:/# sudo aptitude install mysql-server

sudo: aptitude: command not found

root@ubuserv:/# sudo apt install mysql-server

Reading package lists... Done

Building dependency tree       

Reading state information... Done

mysql-server is already the newest version (8.0.20-0ubuntu0.20.04.1).

0 upgraded, 0 newly installed, 0 to remove and 10 not upgraded.

root@ubuserv:/# 

Commands issued at the terminal

$ sudo apt install mysql-server

$ sudo mysql_secure_installation

$ sudo mysql

$ sudo apt remove mysql-server

$ sudo apt install mariadb-server

$ sudo nano /etc/mysql/mariadb.conf.d/50-server.cnf

$ sudo service mysql restart

$ sudo service mysql stop

$ sudo service mysql start

$ systemctl status mariadb.service

$ set mysql/config/mysqld/innodb_force_recovery=1

$ systemctl start mariadb

$ find /etc -name *.cnf

$ sudo apt-get purge mariadb-server

$ sudo dpkg -l | grep mariadb

$ sudo nano /etc/mysql/debian.cnf

$ sudo mysql_secure_installation

$ apt-get purge mysql-server*

$ rm -rf /etc/my.cnf /etc/mysql

$ sudo apt-get remove --purge mysql*

$ sudo apt-get purge mysql*

$ sudo apt-get autoclean

$ sudo apt-get remove dbconfig-mysql

$ sudo apt-get remove ––purge mariadb-server

$ del mysql*

$ rm mysql*

$ sudo apt-get clean

$ ps -A|grep mysql

$ sudo pkill mysql

$ ps -A|grep mysqld

$ ps ax | grep mysql

$ sudo nano sources.list

$ sudo apt purge mariadb-*

$ sudo rm -rf /usr/share/mysql/

$ find mariadb.repo

$ find mariadb*

$ apt search mysql | grep "[install"

$ sudo apt -f install mysql-server

$ sudo dpkg -i mysql-apt-config_0.8.15-1_all.deb

Commands issued as SU

# service mysql stop

# killall -KILL mysql mysqld_safe mysqld

# apt-get --yes purge mysql-server mysql-client

# apt-get --yes autoremove --purge

# apt-get autoclean

# deluser --remove-home mysql

# delgroup mysql

# rm -rf /etc/apparmor.d/abstractions/mysql /etc/apparmor.d/cache/usr.sbin.mysqld /etc/mysql /var/lib/mysql /var/log/mysql* /var/log/upstart/mysql.log* /var/run/mysqld

# updatedb

# rm ~/.mysql_history

# sudo apt-get purge mariadb-server

# sudo dpkg -l | grep mariadb

# sudo apt-get purge mariadb-server 

# sudo dpkg -l | grep mariadb 

# edit /etc/mysql/mysql.conf.d/mysqld.cnf

# killall -KILL mysql mysqld_safe mysqld

# apt-get --yes purge mysql-server mysql-client

# apt-get --yes autoremove --purge

# apt-get autoclean

# deluser --remove-home mysql

# delgroup mysql

# apt-get remove --purge mariadb

# apt-get remove --purge mariadb*

# sudo rm -rf /etc/mysql/

# sudo apt install mysql-server

# sudo apt-get autoclean && sudo apt-get --force-yes remove mysql-community-server-dbgsym mysql-community-server mysql-server

# xhost +si:localuser:root

# synaptic

UPDATE

I have removed Libmysqlclient21 in synaptic since it appeared as broken, attempted to uninstall MySQL successfully from synaptic and reinstall it from synaptic unsuccessfully, apparently there is a running MySQL process that I can't find, which prevents the installation of mysql-server-8.0 (mysql-client, client-8.0, client-core-8.0, server and server-core-8.0 reinstall just fine).
Following you will find the screen capture
https://pastebin.ubuntu.com/p/pJCxYm5K2w/

Also---

internal Error, No file name for mysql-server:amd64