I have the Ford factory schematics for the '20 F53. Should be the same for either a '20 or '21 F53 since you'll have one of those.
The difficulty level in diagnosing the cab A/C system is compounded by it being a hybridization/integration (I prefer to think of it as bastardization) of the Ford-supplied system with the system chosen and installed by the Thor factory. That system would need to be positively identified in order to get a complete picture.
Also, you really need a scan tool that can read PCM PIDs as the compressor clutch relay is controlled by the PCM. Forscan with a recommended adapter can do this.
A couple of things you can check immediately: Fuses F34 & F46 in the under-hood fuse box and check for continuity of the low pressure cycling switch. After that it does get more involved.