To disengage the clutch sooner/quicker. You need to tighten the cable. Run it too tight and you will wear your throwout bearing prematurely AND/OR the clutch will slip when under power.
Another thing you can try is train your brain. On paper it's press clutch, move shifter, release clutch. When racing you just try that faster but it's actually slowing your shifting down.
Try pulling the shifter ahead of pushing the clutch.
2nd vid. Ignore the 1/2 shift. The ground is frozen and the car is on snow tires. I slow shift it to keep traction. The 2/3 shift is right in front of the camera. It's an old vid of when I first bought the car with the gayest shifter handle and mechanism, 80w90 gear oil in the trans and a clutch that I found super hard to push.