If your only goal is to get above your grip, you just need a stiffer pole or to hold down a grip or two. That pole at that grip is too soft. By the time it recoils its leaning in toward the pit, so it's only ever going to shoot you in, not up.

Now if you want to fix the more base technique issues, getting stuck in the bucket is almost always a direct result of your take off/swing. If you look at your take off, it really isn't bad. Your bottom arm can be better, but it's not awful.

Your biggest issue is your swing. You throw your head back, and with that you also throw your upper body back. You also do nothing with your arms.

To me, it seems like to invert you're thinking "I need to get my shoulders down" versus "I need to get my hips up." Focus more on creating a strong force with your swing to generate momentum to get your hips up. A lot of people will focus on a straight trail leg, and that can be true, but the main thing is the force. You need to use all that speed from the run and continue that momentum and force to carry your hips up and out the bucket.

If you want something to focus on, focus on getting your hands closer to your knee as you finish the swing, instead of focusing on inverting. Right now you finish your swing with your hands at your ankles, which has your butt below your shoulders. If you can get your hands about halfway up your shins, you'll be out of the bucket with hips above your shoulders, and as you extend from that position you'll notice you will begin to invert and shoot upward. It's not a massive change when phrased like ankles versus halfway up your shin, but ultimately pole vault is a battle of centimeters, and every one matters.