First and foremost, I didn't see you mention your actual goal for this program. By squatting three days a week and with the set/rep scheme you mostly talked about, I'm guessing you want "size and strength"? A vague and non-descript goal if ever there was one, but plenty common.
Secondly, what's your current height, weight, general fat level, and current strength on all the main lifts? If, like, you're 6'0" 160 pounds and squat 185, then a plan this complicated is very unnecessary.
Real quick: Two sets with the bar is one too many unless you have some serious form or mobility issue you're trying to correct. But if that's the case and you're having form/mobility issues, then I'm not sure this funktastic plan with high-rep squatting is the right path anyhow.
So your week will be:
Sun - Off
Mon - Squat Day A
Tues - Pull Day B
Wed - Squat Day A
Thurs - Pull Day B
Fri - Squat Day A
Sat - Push Day C
When you're squatting that often, unless you're well-conditioned to it, you really need to check the volume of everything else you're doing on that and the other days. I'm not sure hitting EMOM swings after squats and 1-arm clean and presses on non-squat days are the right choices.
That's an understatement. There's very, very little rhyme or reason with your programming. There's only two exercises different with your "push" and "pull" days, they're identical otherwise which means it's not a "push day" and "pull day".
Your squat plan is all over the place. I can understand wanting to use the 60% work as back-off sets, sort off. Back-off sets can be plenty useful, but the wayyou're using then, very high rep after heavier, low-rep stuff, is much more of a muscle growth-emphasis even though the rest of your work isn't designed for growth. If you were going for strength, then I'd "back off" with a few sets of doubles at 85-90% the day's working weight.
I also don't understand the rationale of going until you fail at the 5x10 sets and then dropping way back to 3x3. That's a huge drop in training volume that doesn't make a lot of sense.
Bottom-line: I don't think you should be programming your own routines just yet. Run a well-designed pre-written plan that's appropriate for your specific goal, squeeze progress out of it for several uninterrupted months, and read up more about the whys and hows of program design.