I think there are several possibilities for the outcome here, which could range anywhere from something simple like 'replace one tube and you're back in business' to 'tear down the whole thing and rebuild from scratch'.
Scaredashell, you said you liked the sound of the amp before the problem. So I'm guessing if it can be fixed easily, that is what you would prefer to do, rather than tearing down the whole thing and rebuilding into a new amp. Right?
Even before opening it up and poking around, I would start by trying to isolate the problem to either the preamp section or the output section.
Because this is a modern amp, you have pre-amp out and power-amp in jacks.
I would start by removing the two el84 tubes, leave the 12ax7s in place, and plug a guitar cable from the pre-amp out jack to the input of another amp. Do you have another guitar amp you could do this with? Or a PA system? Any audio amplifier could be made to work, but something designed for musical instruments would be simplest, and best.
Anyway, with those power tubes removed, and the preamp of the Traynor running into another amp, see if the problem happens. You described the problem as it sounding fine for two minutes, then volume drops after a few minutes. Does this still happen when bypassing the power amp? Note the tone will not be exactly like it would be going through the power section and speaker of your Traynor. But you are not trying to reproduce the tone of your amp exactly with these steps - you are just checking to see if the 'delayed volume drop' problem is happening in the preamp section.
Also, when you remove those two el84 tubes, take a close look. Any signs of burning, discoloration, or other visible signs of problems? Particularly with the one you said looks like it is dimmer than the other?
Finally, if anything nutty happens when you are trying this - sparks, smoke, poltergeist, tornadoes, etc. start shooting out - shut the amp off and report back. My guess based on your description so far is that checking the preamp section in the way I described should be fine to do. But be alert, and shut it down if anything nutty starts happening.
Try these two things, and report back.