You don’t really need room correction. that would be the wrong direction, IME.
you can’t counter the sound of machine guns going off by adding the the sound of different machine guns at a higher and droning kind of level... to cover it up. It’s an exaggeration, but this is what active room correction is being asked and tasked with doing, in your particular scenario.
You need to drop your noise floor. You need to correct the room noise floor, you need to drop the room noise floor, you need mechanical and acoustical treatment in and of that room.
Or...move location.
Active room correction can do nothing good here. All you’ll achieve is some dirty bits of screaming over the noise.
My answer comes from working extensively with someone who is at the top of the trade in the associated technical areas and is tasked with fixing such problems.
It is not necessarily expensive to fix, it just needs to be tackled correctly. eg, window noise, sound coming through windows, through the glass. Some of the security films can work wonders here. (security films have the drawback of making windows very much a non-exit point in case of a fire. Even swat teams can't get through the dang things)
But to me, it sounds like you might have to move, to get anywhere at all with this, at any reasonable level of bother and expense. (I looked up some images on the net re the restaurant, etc)