Random internet guy observation.
To me, the extra clicky is the tell:
With a proper quantity (always by weight) of refrigerant and assuming your evaporator is operating in accordance with manufacturer specifications, there will a charted specification for how often the compressor cycles, based on the ambient air (the hotter the air, the less cycling per minute).
I would have the dealer hook up his ac equipment, run the ac at maximum and note the high side and low side pressures.
My bet is you are somewhat low on refrigerant.
