Can't connect to local mysql server and lost root password

I can't connect to a MySQL server, so I stopped MySQL with:

sudo /etc/init.d/mysql stop

Quote:

# Stopping mysql (via systemctl): mysql.service.

sudo -s
mysqld_safe --skip-grant-tables &

Quote:

# .... mysqld_safe Starting mysqld daemon with databases from /var/lib/mysql
# 2021-05-29T03:01:11.967630Z mysqld_safe mysqld from pid file /var/lib/mysql...... ended

mysqld_safe --skip-grant-tables

Quote:

# Logging to '/var/lib/mysql/......err'.
# 2021-05-29T03:03:40.507375Z mysqld_safe Starting mysqld daemon with databases from /var/lib/mysql
# 2021-05-29T03:03:40.834556Z mysqld_safe mysqld from pid file /var/lib/mysql/...... ended
# [1]+ Done mysqld_safe --skip-grant-tables

mkdir -p /var/run/mysqld
chown mysql:mysql /var/run/mysqld
mysql -u root

Quote:

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