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NO, on the above
Previous one looks fine to me
AC 12v activates relay and grounds the low speed relay, like the temp switch would
I would put a noticeable RED LED on the on/off switch that comes on when switch is OFF, so you don't forget to turn it back on
Just use a double pole switch so it turns on LED when Fan 12v is off
Key on 12v on center pin, out to fan on one end, out to LED on the other end
The 12ga wire is over kill, 18ga is fine for the relay coil wiring, but if you have 12ga then use it
A short is when you connect 12v directly to a ground
If there is a "load" between the 12v and ground then no short, relays coil is a "load"
i.e. a 12v light bulb, 12v---thin wire---ground, not a short because thin wire is a "load" not much of one but a load none the less
A "load" is resistance to current flow, so a flow limiter
A 12v wire connected directly to ground has no "limiter" so all available current can flow until a wire melts and separates, lol, a bad short