What is the turn around time on drinking alcohol and eating hot sauce after being diagnosed with gastritis?

Depends. I depends on how bad you felt to start with. At least a week but perhaps a month.
Wait on Gastritis. So many people do not have pain, irritation or gastritis from "hot sauces and foods" that you should look at the alcohol, a known cause of gastritis. Consider not using alcohol at all, but if you feel that you need to use some alcohol, you may need to check with a gastroenterologist to have your stomach check with a scope and other tests done.