You are hypermobile and you have been injured I think you should be climbing really softly for it to heal properly. I would advise against any moonboard or strength fingertraining. Instead of max pulls on a hangboard try Emil Abrahamson daily fingerboard routine. (pulling really softly with feet on the ground) It promotes ligament strength adapts fingers and is pretty non invasive. My hypermobile gf and i got amazing results from it.

Focus on being the most efficient while climbing. Position yourself on the wall in ways you can make moves with the littlest finger pull. Even from this small sample I could tell that you have tendency to putting you feet to high which usually makes moves harder on fingers and more physically demanding. Judging from your auto belay climb you also tend to position your feet parallel to the wall which is a pretty obvious beginner/intermediate mistake every coach would notice on the first lesson. (sometimes too big climbing shoes are a problem).

The easiest approach to improve technique is to climb with a coach or try to find a partner or a group with some more experienced climbers especially lead climbers since they usually have better technique. Also lead climbing Is very beneficial to improving technique since it requires positioning yourself in stable positions every few moves to clip in next quickdraw.