S.E.X. 3.0 [resolved]

I would be most concerned about terminal 25 reading 0 ohms.  Two wires, one capacitor, and one resistor land there.  Remove each of those one at a time and recheck your resistances as you go until you don't see a 0 anymore.  I would start with the cap, then the resistor, then the white wire going to the OT, then the white wire going to the socket.

You can stop when you find the connection that's dragging that terminal to 0 ohms and let us know what it was.
 
Hopefully 0.678K? 

You can actually run the amp with the cap removed to check DC voltages, but if you try to listen to it that side of the amp will be quieter and more distorted than the other side.  In any case, I'd go ahead and replace it.  I can remember getting on SEX amp in the past that had a dead cathode bypass cap like that, and I remember that there was something that I thought could have precipitated the failure, but I can't remember what it was.
 
So what's going on here really is that the voltage on terminal 18 is not 0V, and that is screwing up everything else and has allowed excess voltage on that cap that's shorted out. 

There's a 249K resistor between 18 and 19, does it still measure as 249K?  If so, take the tube out of that socket and set it aside, then take the tube from the other side of the amp and try it in that socket to see if that same pesky high voltage is there.
 
I would heat up the solder joint holding one leg of the 0.1uF cap in place and pop one lead of that cap off the terminal strip, then recheck that resistance.
 
This kind of failure can happen if the cap is snugged up too tightly to the terminal strip and possibly gets melted a bit so that it contacts other terminals or internally shorts.  This is generally what we are providing these days:

https://www.parts-express.com/Jantzen-0200-0.10uF-400V-Crosscap-Capacitor-027-900

I would replace that cap, recheck that resistance again to be sure it still shows as 249K, then fire up the amp and check DC voltages, then replace the 1000uF cap that isn't currently installed.
 
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