The seat has been slightly tilting to one side for a while (I wish I had noticed it sooner). Today it started lurching much more to the side and back. He's ready to pay hundreds for a repair but I wanted to see if this is something that I can fix.

Here's the damaged area. This is on the chair back where it attaches to the base, on the top is the mechanism that you flip down to lock the chair back in place when it's connected.

The screw (or is it a bolt?) came loose and has been digging into the wood when he reclines, after many months it finally carved its way through the wood entirely.

There appears to be a metal receptacle for the end of the screw down in the hole (sorry I don't know the terminology). If I try to put the screw back in there, it doesn't connect and stay attached at all. I expect that one or both are damaged, getting a replacement screw would be easy at least.

What's the best solution here? I've read about solutions involving wood filler, I'm not sure if that's the best idea here. This bracket has two other holes in it for some reason - I could just drill holes beneath where they line up and put 2 new screws in, away from the damaged area.

Any help would be appreciated. Thanks