A/C cycling when hot

I think you have two issues. First you have a possible low pressure in the A/C system which is causing the short cycling. Second the fan not coming on is another issue that will cause poor performance. However, it will not cause the short cycling.

So let's make sure the A/C is properly charged using a gauge set. Let me know what the pressures are and we can go from there.

https://www.2carpros.com/articles/car-air-conditioner-not-working-or-is-weak

As for the fan not coming on, let's start with checking power at the fan and then back track through the system to find where we do have power. If you have power then the fan motor is the issue.

Let us know what you find with all this and we can go from there. Thanks

Okay. So we need to treat these separate and fix one and if it fixes both that is great but if not, we can move onto the next. Let's start with the compressor short cycling. That is normally caused by low Freon. So let's check the pressures with the engine on and A/C running and go from there. The next thing that causes this is if the evaporator is frozen. So you should be able to tell this is frozen the lines going through the firewall will freeze up as well.

https://www.2carpros.com/articles/car-air-conditioner-not-working-or-is-weak

Let me know what the pressures are when the engine is running and A/C is on and then keep monitoring it until it starts short cycling if the pressures are correct based on this chart.

Does the engine overheat at all? When the A/C starts to blow warm what is the engine temperature?

I am wondering if high engine temp is causing the pressure to build in the A/C system. Heat from the radiator will cause the condenser temperature to go up and this causes the A/C pressures to raise as well.

Clearly the other cause of both sides being high is an overcharged system and I think you are correct that this is not the case if you evacuated the system. Just to make sure, did you pull it into a vacuum and have it hold it for about an hour when you evacuated it?

Okay. I am not saying you are wrong because that can be happening, but I want to clarify something you said. You said it does not overheat unless you turn the A/C on. Does that mean the engine overheats when you turn the A/C on or the A/C system is "overheating" and starting to blow warm.

If the engine is starting to overheat when you turn the A/C system that could be the source of you then A/C issue. Basically if the radiator is clogged/restricted then it will run fine until you add the additional load to the engine of the compressor. Then the engine starts to overheat. This additional heat in the coolant/radiator is not allowing the Freon in the A/C system to cool down and it starts to rise in pressure and not blow cold any longer.

Basically I think you have a cooling system issue that is leading to the A/C system issue, assuming you have an engine overheat when the A/C is on.

Normally a restriction in the A/C system will cause low pressures as it prevents the compressor from building the pressure.

The fact that this works fine until the engine gets hotter makes me think that is the issue. Does this make sense?

Yeah. That makes sense so hopefully we will find the issue in the cooling system and that will cause the A/C to stop skyrocketing. I will wait to hear back. Thanks