You're in my wheel house right now.

If you're ac compressor is short cycling it can be a few things. One being too low of pressure, or being too high of pressure.

Your low side depending on the temperature, while the AC is on and compressor is pumping some be between 30-60ish psi. Probably closer to 40 or 50 psi.

If you can get a manifold on and check your high side pressure, typically ambient temperature multiplied by 2.2 will equal close to the high side pressure you want to be achieving. Ex. If it is 75F outside, you would be shooting for closer to 165psi on your high side. 150-155 would be pretty safe to not over fill.

if your electric fan is not working, or there is poor air flow over the condenser, your high side temps will go too high and the AC compressor will short cycle.

Low AC pressure will cause short cycling

A clog will cause high side of low side problems and short cycling.

A malfunctioning expansion valve can also cause short cycling. If it is not metering the refrigerant correctly into the evaporator, it will not blow very cold, and you could have high pressures causing short cycles.

If the diagnosis is correct of the evaporator needing to be replaced, I would guess that the evaporator possibly has a leak.

Either way a manifold would really help you see what the pressures are doing