I'd bet it's fine.
I agree. Follow the procedure Willabe outlined, and just try the tube in your amp.
After about one minute of powering up, one started glowing very brightly, so I turned the amp off immediately.
It sounds like you are describing some red-plating (gray plate starts glowing cherry-red, usually in one or 2 areas of the plate).
If you read around, you'll find folks saying, "If a tube red-plates, it is bad and/or can never be trusted again." Like many things tube-related, there is a basis for the statement (which is usually not provided) but then the notion is taken out of context and exaggerated somewhat.
The problem with overheating tube elements is that the materials may emit gas ions which were bound up in the material (outgassing). These ions could contaminate the control grid in a manner that would tend to counteract the bias voltage, making the tube behave as if it had less bias (more resulting plate current). If that situation is carried to an extreme, the additional current could run into the control grid, further reduce apparent bias, heat the grid, cause secondary emission from the grid, which furthers plate current. And on, and on, into a runaway situation.
So that's the possible problem, described in old tube books as a "gassy tube". But your tube also has a getter flash which is there to combine with and trap such gas molecules, and prevent the gassy tube condition. And a tube's vacuum is never absolute to start with...
So in the absence of other info and/or experience, you get the statement, "If a tube ever red-plates, it is forever suspect." It's an overstatement in my opinion, and you'll throw away perfectly good tubes. It's a safe (and profitable) recommendation if you're a tube vendor.
It might sound silly, but your amp is the best tube tester. Ensure the fuse is the correct, rated value. Watch the tube at power-on and be prepared to power off if you see signs of trouble. But I'd guess you have an 85-90% chance the tube will operate perfectly fine.
If you're really concerned about the risk of gassy tubes, cathode-bias is inherently self-limiting and will either prevent a failure or minimize the scope of any resulting damage. There probably exist some exotic hi-fi amps which use fixed bias (for greater output power), but use some form of servo circuit to lock tube current to a safe value (which would then also be safe in the face of a gassy tube).
I can think of cases where I had trouble with amps where there was an actual failure of some component in the fixed bias circuit, but I can't recall any situation where I had trouble or damage caused by a gassy tube. And that's over an almost 25-year span of tinkering amps.