I can hear/see that you're rolling onto the throttle way before you start to unwind the car. It looks like you're scrubbing off speed during the corner fighting to keep a line to the apex and then play catchup on the exit. At 2:13 you have a big understeer event and then I can hear you try to roll on the throttle three times, all before unwinding the car or even correcting the balance. You could have braked later and harder, using the weight transfer to help you hold a tighter line to a later apex and rolled back on just as you started to unwind.
Also, I'm not hearing the engine take off like you're spinning a tire. I do hear you roll on and back off, which makes me believe that you have less of a problem with losing the inside tire when adding torque and more of a problem moving weight off the front of the car, pushing it into understeer; you're backing off because you're losing the front due to weight transfer and not because you're spinning. An LSD isn't going to help much in such a case. Roll on later and only until you're happy with the balance and are ready to unwind. If you find yourself too slow mid-corner you might have entered too quick and fought all the way to the apex. If you're pushing at the apex don't add power until you've fixed that.
Long turns are challenging because they're hard to orchestrate because you can't aim for the apex on the entry, a problem at the exit is hard to cognitively connect with a poor entry b/c it happened 4 seconds earlier, and the speeds are more intimidating. If this is an SCCA TNIA event find a grey hair with an SCCA cap on and ask him to ride along. In my experience, they know their track much better than the pro/am drivers trying to sell you coaching and can help you find seconds whilst the pro/am's are better when it's time to find tenths.