I’ve done this sort of repair using base and then finish plaster. You could also use drywall and drywall compound. That’s not your biggest issue. The biggest issue is matching the texture thats on the wall. You’ll likely never get it to look completely right. Aprofessional will probably tell you the same. be prepared to either skim the whole wall or accept a bit of a flawed look on a repair. Sorry. Textured plaster sucks to repair.