Thanks for the test.
We are barking up the wrong tree entirely by any attempt for force either the inside blower or the outside unit fan on. I can mark up drawings for you that show how to do this but it will not lead to any sort of a solution.
The odds are high that you have mis wired the NEST thermostat
88 volts is entirely unusual... it indicates either a bad breaker at the house breaker panel (5 or10% likely at best)... or a defective multi meter, or mis-application of the multi meter such as set on something other than 0-600 voltsAC etc.
Next step is triple check your multi meter against a known source, to see it you have good reads or not.
If the multi meter reads 230v on a known 230v source and you are still getting 88v read at the disconnect switch at the unit, then the disconnect is bad, a fuse is blown, or the breaker for the outside unit is defective... that is inside the house breaker panel and can be quite dangerous for a non electrician to work on.
The wide shot is not showing me the compressor contactor... to locate that, physically follow the wires attached to the compressor back to the contactor and take an even wider shot that includes the contactor.
Let me know what you can discover, we can go from there.