I joined a running campaign (still at the low levels) set in a magic library and I had a character with a comically egregious case of that kind of back story. The campaign had a tight foundation with everyone else already knowing each other and being there for a reason.

It wasn’t easy to recon me in, so we didn’t and I worked this out with the DM. I just had all these things I’d reference. Grand, level-inapproriate adventures, offering impossible feats as part of insane plans, being a key figure in historical events that the others were quite sure had never happened, etc. But absolutely no other sign of insanity or chronic lying in my serious, good-aligned, heroic character.

The DM let everyone have fun scratching their heads over it for a few sessions before they stumbled on my character’s series and found out he was just a fictional hero spawned by the library to assist their quest. His level was from the creation magic and had nothing to do with his real-only-to-him backstory.

It worked out in that very very specific setting.

Gets back up, “also, his name is Jolam.” Lies back down.

Simply ignores it while regurgitating my personal opinion as if reiteration and intuition could trump the cold equations themselves 😎😎😎