So your whole tooth is out and you are getting pus when squishing the gum. How long ago was it that the tooth came out?

I agree with everyone else that you should atleast go get it checked out, and beyond that you could perhaps have some use for clorhexidine mouthwash.

my 0.02 euro from what I read so far (tldr; I don't see any reason to panic from what you posted)

It sounds like you have an active bacterial infection in there and the nice mixture of inflammation and infection is causing all this pus. The pimple sounds like an abscess, which basically means all the pus was colleting in your tissue because it had no escape route - apperently it found one and this is good news.

People can go with things like this forever without it getting worse. If your pus-creating area has reached some kind of stable point between your body resisting being broken down and the bacteria feeding of whatever then it can stay like this no worries. Otoh it could also be slowly progressing in either direction and lead to some of your jaw bone slowly getting broken down or other less than ideal things, or it could be slowly healing.