For those watching at home...
Some Digital Volt Ohm Meters (DVOM) including an inexpensive Harbor Fright model, can test capacitors using a MicroFarad scale. Might be marked MFD or uF ("u" actually a Greek character with a little tail on the left called "MU"). But most of us don't have a meter that'll do it, so substitution is about the only test.
Cheap clamp-on (see the jaws in OP's pic) can measure AC AMPS in a steady state current flow, like the draw of a water heater or an A/C while cooling. That's what I have from HF. Better meters add DC current capability, and still better ones capture "Peak Inrush" which is what OP grabbed right when his compressor started. His meter also adds "true RMS" frequency measurement, alluding to his checking an inverter in another thread here.
I promise, no attempt to praise or criticize Engineers and Mechanics. Not being an engineer, I don't know what RMS even stands for. As more of a mechanic, what I DO know is that many A/C problems turn out to be a Capacitor.