I was finally able to get to this again and confirmed that you guys are geniuses.
I removed the A/C filter in the engine compartment along with the plastic housing surrounding it. That gave me free access to reach and spin the blower motor with my fingers.
I spun the blower motor while the car was off and then went inside to turn on the car and the A/C came on and so did the blower.
So, I now know the A/C system works but the blower has a dead spot.
However, I've only been able to get the blower to move off its dead spot by spinning it with my fingers (and not via an "inside the cabin method"). So, I am likely going to take on the bear of a job of replacing the blower motor. The heat here is unbearable and besides, I now have an unexpected extended period of "free time" ;-)
I am gonna start searching for guides on doing the blower replacement procedure, but if you happen to know of a good one, please send it my way!
Thank you all!