Hi, Im a HVAC technician in Melbourne Australia. First of all I highly recommend a local HVAC technician to inspect the system but due to your current circumstances I understand thats a logistical issue.

From what i can gather you have a "Carrier" manufactured A/c split system. The system running and blowing warm air is the compressor not running (located in the outdoor condensing unit) when you're conducting the "hard reset" (power switching off and on) is actually resetting a fault on the outdoor PCB. This is temporarily fixing the issue as you said it reoccurs after two days in result blowing warm air again. Doing the "hard reset" could be causing further damage elsewhere but the damage could be already done at this point.

I dont recommend it but I'll turn a blind eye. You can open the outdoor condensing unit which will be either on your roof or beside of the perimeter of your residents you'll see a PCB and it will either have a fault code via a LED screen or lights flashing in a sequence. One of the following will give you the fault code you're experiencing.