A hot topic has been raised — I had a similar case with the same symptoms. A mechanic friend and I got a new compressor, but the compressor clutch turned out to be faulty — they installed a new assembly with a branded clutch, and since then everything has been working as it should.
One caveat: if the design of the assembly is different — for example, cast nuts or a different type of spring — be sure to choose a “matching spec” clutch kit. Because changing different components separately can lead to mismatched adjustments, and then there may be a buzzing sound when turned on or a leak of freon.
So, in addition to the clutch itself, check whether the “upgrade kit” includes all components, and not just the old clutch disc.