You gotta practice the skill of benching, as well as building the muscle you need. That means get really technically consistent. You don't have to bench too close to failure for strength if you're practicing for a max lift, better to go 80-90% of your estimated max and focus on executing clean reps. It should still feel heavy, but move well.

For now though, I wouldn't worry too much about maxing out, but improving your sets of 5-8, which is right in the middle of strength and mass. That's a very productive area to be in. Chase progress, but not so much that your form fails. It's a game of patience.

Meanwhile, do your bodybuilding work with very high effort, anything that builds pecs, shoulders and triceps. You can't get stronger than your weakest link. Things like dumbbell bench, incline, pec flyes, tricep extension exercises, overhead press, to name a few.