Unlit tubes ain't gonna work, period, end of subject. There must be a wiring fault as to the green wires coming out of the power transformer. They, or their offspring, are just not reaching their intended destinations.
As far as a troubleshooting mindset, we first observe a problem. Then we try to imagine all the things that might cause our "no-go". (There could be multiple potential causes) Since we cannot see electrons flowing to or from or past something else, yet our meter CAN see such things, we try to devise scenarios and test them out as to whether they are true or not. We of course have to use the meter properly.
1: Amp does not play. What could cause that? (a hundred things) We turn it around or upside down and observe.
2: We see heaters unlit. We know that unlit tubes can not do their job. We then seek to isolate the specific thing that is making this so.
Either: the green wires or extensions of same are not getting to the tubes (BOTH of them, not just one, and presumably also not reaching the pilot lamp, this too being another clue) or....the transformer is defective and not putting out the 6.3-7 volts needed to light up the tubes and pilot. With experience, we massively discount the possibility of a brand new tranny being bad, because it's so rare. It is also possible that ALL THREE items, the 6V6, the 12AX7, and the pilot lamp are ALL bad, but the odds of that are infinitesimal. So we discard the possibility, pretty much. Astronomically unlikely.
But we COULD test that, in one of two ways. With meter on OHMS and power OFF, we could measure whether there is continuity from one end of the green-green winding to the other. We would want to pull the "6" tubes from their sockets because they will fool us. That winding that produces your heater volts should look almost like a short circuit to your meter. Another way, the two not being mutually exclusive, would be to power on the amp, set the meter to AC VOLTS and have our probes attached to the bare ends of the green-green. How do we do that? Doesn't that require three hands? Yes, it does, that's why we want an alligator clip or equivalent on the end(s) of our meter probes. Should read about 6.5 - 7 volts >>AC<<. Could be a failure to connect, eg; a wiring fault, or, the heater winding could be shorted out.
That's your problem. The green wires are not getting to pins 2 and 7 of the 6V6 tube nor the 4/5 + 9 on the 12AX7 nor the two terminals of the pilot lamp.
Could be bad solder joint.
Could be the layout omitted the connections (I have not looked at the Hoffman dwg) because this is a common thing to do, to assume that the heaters are wired up. You don't see them on the dwg, you forget to assume they have to be there.
Could be a broken mechanical connection somewhere. Guess what? NOBODY gonna wire them up but you!
Most likely, there is a wiring fault. You being a noob, more likely.