Places where I can disappear for half a day and won't cost me much

The thing is living in home is unbearable right now, my father acting too toxic towards me (for various reasons) .

And I work from home so I atleast want to work in quiet and peaceful place then return home. I have seen korea and japan have manga cafe where one can have sort of small rectangular shape private space with chair and stuff. Is it possible to have something similar here?

Going office is not a option, since it's too far away .

Right now the only option I can see is to go private libraries recently opened nearby , they have all facilities like AC, wifi etc but I guess it's still sort of open space I wanted to have a private cabin to myself.

Any suggestion would be appreciated