I found a perfect lazy-ass solution for the tea supply continuity problem.

It involves a larger thermos and an insulated cup (this one is nice because it keeps tea temperature consistent longer, but any insulated cup will do really).

The algorithm is as follows:

1. Wake up.
2. Boil a kettle. Optionally let it cool down a bit (80°C is fine for me, talk to your lawyer to find out if it's good for you).
3. Brew up a fuckload of tea at once, fill up the whole thermos, and the cup as well.
4. Get them over to your ~cave~ desk.
5. Congratulations, you have a day's worth supply of warm tea, just refill the cup when it runs out.