An update. Ordered a cap since it was a $30 fix and a logical starting place. My wife, bless her heart, watched a dozen Youtube videos and had it replaced by the time I got home.
I'm not sure she even knows what a capacitor does.
There's a YouTube video for everything.
Compressor is running.
We didn't test it for long, I'm a bit concerned that the air wasn't as cold as I recall.
But it was a cool night.
Tomorrow we'll fire it up again and see if we're out of the woods.
Or if a new upper unit is going to be required.
Thank you for all of your help!
Our fingers are crossed it was just the cap!