You could give it another short spin after the hour has passed.

What I usually do (for ~4 cups) is boiling 1,1 liters of water in a kettle, filling a teabag with 3-4 teaspoons of tea, rinsing the thermo bottle with the 0,1 liter of water, brewing the tea, then forgetting about it for 15-30 min, suddenly exclaiming "Oh, the tea!" (but in my own language) which, to me at least, is funny because (short story long) I once ordered a bunch of free Christian bumper stickers online, which I, long ago, before I even had this habit of forgetting the brewing bottle, had cut out into different words and letters of said christian bumper stickers and stuck onto the thermo bottle, reading (exactly) "Oh, the tea!".

On a sidenote, no matter how long I usually forget it while it's brewing, it's always still too hot - and even never too strong. Pure Earl Grey - no milk, no sugar!