It's been there for months now. It happend shortly after I painted the walls. I'm jot going to fix it because why. Kids will slam the door again anyways. Rather a hole in the wall than having to replace hinges or a door.
Door Stopper Wall Protector [4 Pack] - Clear Self Adhesive Rubber Door Bumpers. Prevent Damage to Walls from Door Knobs Handles - Door Stop
https://a.co/d/hVaLqZG
Not recommending Amazon, but you could look for one of these at your local hardware store.
Maybe it's because I was an only child, or maybe I wasn't aggresive with doors as a child, but my family never had issues with door hinges or stops breaking growing up.
Had both the solid "stick" doorstops screwed into the baseboard, and the spring ones attached to the baseboard.
The stops that sit on top of the hinge with one pad to press against the door and another to press against the wall, usually adjustable by screwing one of the sides to be longer or shorter? My family definitely broke a few of those ones.
There's also the plastic/rubber patches you can put on the wall where the door handle would slam into the wall. Never used those anywhere I've lived, but they seem to work well in offices and commercial buildings I've been in.
A possibility would be to install a wooden block over the dent in the drywall, something harder than drywall that can spread the load of the doorknob impact. Make them out of some durable hardwood, something designed to match your decor or complement the paint color.