It is said "Never Give Up". In which situations that would be incorrect?

Running from the cops. Stalking a celebrity.

You try to achieve your dream. It is then revealed that you have absolutely zero talent and attitude for it. You are clearly not cut out for it. So would you just continue in vain?

Fighting with animals.
Arguing with mom.
Trying something that obviously doesn’t work.

Beating a dead horse.

Beating yourself up.

Paying through the nose.

Holding your piss.

Putting up with an abusive spouse and hoping that they stop hitting you and have remorse.

Trying to make someone like you or love you.

^^ Very true.

I’m not sure the whole “go after your dreams” talk that my generation received was valuable. In our economy it is probably good to give up on being a famous actor or singer, for example.

I gave up on trying to be a NASA scientist because I was literally killing myself with academic perfectionism. Now I write code and have a cushy job and a work/life balance. I’ve never looked back.

Certain hopelessly doomed combat situations.

Horribly dysfunctional and/or abusive romantic relationships.

When you’re wrong.

When being certain you’re right is keeping you from checking whether you actually are.

When you see that the context for never giving up isn’t as good as some other context.

Waiting for Trump to drain the swamp, etc.

When you realize you brought a knife to a gunfight.
When he’s just not that into you.
Whe she says no.

A drug habit that is killing you.

When you are terminally ill and tired of the treatment.

Argument with stupids….