AC blower is not working

I am copying my request from that other thread here. I followed all the steps on that thread and still have nothing. The blower does not work at all. If it worked on high I would not be worrying about this because the two highest settings are all I ever use and I never turn it off.

The thread I followed for the initial testing of this problem is:

https://www.2carpros.com/questions/pontiac-sunfire-1998-pontiac-sunfire-blower-problems#last

my post there is: This thread has been very helpful to me so far, but it ended before my problem was found. My car is a 1999 Sunfire with the same problem, but apparently a different cause. I always have the blower on, and while travelling this summer started smelling hot circuits. The next day the blower would not turn on. When I returned home I started by going to the junk yard and getting another blower because the odor I had smelled was very similar to that of burning fields; the replacement motor also did not work when installed. It was at this point I began doing diagnostics. Both motors work when attached to the battery, although the original motor does not turn as freely as the one I got from the junk yard.

Next I checked all the fuses in the system and replaced the blower motor relay. Still nothing. At this point I found this thread and completed all the diagnostics it recommended, hoping that Narcissus had the more serious problems because that is what I expected I have. I have power at the mode switch, which is one step beyond the diagnostics you detailed to Narcissus, but I have no idea where to go from here and I am not finding anything else on the internet about this problem. Can you help me go on from here?

That fuse has been checked multiple times, so I am assuming your suggestion of the control module or something else is going to be the problem. Since I smelled hot circuits, but it did not draw enough power to blow any fuses something like that could have overheated after cooling when the engine was shut down no longer functions at all. I guess this will go to my mechanic. Thank you for your assistance.

I am sorry it has taken me so long to try this information you gave me. It was reviewed immediately but I have only just now tried these tests. Everything up to step 12 had been done in previous tests and when I replaced the relay. I had assumed all was well with the relay before because I can hear it activate when it is plugged in with the power turned on, but upon doing these tests I get an unexpected result and wonder how it is possible for that relay to activate at all.

I jumped terminals 85 and 86 (step 12 in the link you gave me) with the engine off and found the circuit to be active. Next I went to step 13 and attempted to jump circuits 87 and 30 with the engine running and my tester did not light up. It was not clear to me from the instructions given if the previous circuit was supposed to still be jumped, and I had not jumped it when I changed the tester light to this second circuit. With the tester light still in this circuit I attempted to jump the circuit between 85 and 86 again, and was surprised to find no arc as I closed this circuit. I changed the tester light to this circuit and found it to be dead. When I turned off the ignition I again had a hot circuit between leads 85 and 86. I don't know, but this sounds like a problem to me.

What's going on here? Is this how this side of the relay is supposed to be functioning or is there a problem somewhere in this circuit?