MySQL Plugin "mysql_old_password" not loaded

In an attempt to fix another issue I had, I ran the commands below (as per https://dev.mysql.com/doc/refman/5.6/en/old-client.html)

mysql> UPDATE mysql.user SET plugin = 'mysql_old_password'
mysql> WHERE User = 'root' AND Host = 'localhost';
mysql> FLUSH PRIVILEGES;
mysql> SET PASSWORD FOR
    -> 'root'@'localhost' = OLD_PASSWORD('new_password');

And now I'm unable to even get access to mysql through mysql -u root because it gives me the error ERROR 1524 (HY000): Plugin 'mysql_old_password' is not loaded. I can't run mysqladmin and sudo mysqld_safe --skip-grant-tables gives me the error

51759
my-username@Macbook-Pro ~ % 
  + suspended (tty output)  sudo mysqld_safe --skip-grant-tables

When I tried to run mysqld --old-password=1 I got a whole lot of 2022-08-17T11:10:18.149573Z 1 [ERROR] [MY-012574] [InnoDB] Unable to lock ./ibdata1 error: 35 I have tried uninstalling and reinstalling using homebrew for macOS, when that didn't work I also tried manually installing mysql from the website but that didn't work either. (I use mysql version 8.0.30 for macOS 12.4)