Not to be confused with turning or not, the fan will always spin. When it is locked up, you will know it by LOTS of air movement, with a roar of noise, sucking engine power. Probably all ready knew that.
Cadillac valve does run warm due to warm / hot power steering fluid flowing thru it and the solenoid coil gets a bit warm too, as it is for the most part always energized. Good chance clutch is gummed up. Apply air per PAPAKB.
Make up some Rude Goldberg air connections applying air. (air fitting to your hose for easy air, on air off control) Engine OFF and see if you can free it up. Apply air AND easy on turning the blades as to not snap one off and a light tapping of hammer on ring between fan and pulley. Maybe able to get it to free up. Had the same problem here and after 10 minutes of air on and off, tap tap tap, turn turn turn and some WD-40 on anything that moves, repeat... it came to life. When you get it really working you will see the fan move back and forth on the spinner assembly about +/- 3/16 of an inch with on /off air test.
Put it all back together and test with a cold engine and plug/unplug Cadillac valve electrical plug. Hold on to your cover when it kicks in.
Engine OFF. Never ON when your fingers are in there. Good luck, CAMO