Hey there.

So I recently changed my password using a random password generator (yeah, I know it was stupid of me) and I don’t know what my password is to change it to log back in on my computer.

Is there any way around this? Or am I forever locked out of the account on my computer?

I think Full Moderators have appropriate privileges to help, you might want to try contacting one.

Who are the Full Moderators and how can I get in contact with one?

Check out the Discord server linked in the More tab.

You can see the site staff here: https://www.speedrun.com/about

There's a "Forgot password" button in the login form, so I suggest you log out and click that button to change your password again.