A/C unit doesn't work.. blower can't be turned off

I've done a thread search, and didn't see anyone with this specific issue.

I changed out the dash and, upon reinstall, the A/C unit doesn't turn on, although the fan blower blows constantly (typically cycling from low heat to high heat, and then back again). I also installed LED lights on the dash and the climate control unit.

Fuses inside cabin and under hood are fine (and have swapped them).

Stereo works fine.

Since the stereo isn't affected by the reinstall, could I surmise it was the LED lights that are causing the issues? (I'm swapping them out tomorrow). I didn't think this was possible. If so, would that mean too much or too little current would then go through my climate control? I.e., is it just underpowered or fried?

If it's not the LED lights, would a broken wire inside the connectors cause this kind of malfunction? I didn't see any lose wires or wires being wrongly grounded (but that could be still the case). If the blower functions, does that mean the unit is receiving power? Do you recommend replacing the unit just in case to rule that out?