Realize PC3 4 5, 7, 8, 9, 10
are all on the same rail. If one is shorted, they all will show zero continuity.
You don't have to remove all of them. You have to find which one is shorted. Your thermal camera does not have enough resolution to show you which one is shorted, it shows you a hot area. You do further investigation by spraying freeze or alcohol.
We don't apply 3.3V, we apply less than 1 volt, 0.5 - 0.8 volt won't damage anything, 1 - 2 amps. You'll do fine with 12V power from the supply though.