I slurp a fresh pot so I can capture the most of the hot tea,
this eventually evolves to sipping as I settle in and simply enjoy a bit less intently.
I may gulp the last bits of a cup that has cooled and may have lost some of its essence.
And I will often chug the last steeping of a tea as I might a refreshing glass of water ... which it is usually simply tea water by now ... and I have not coincidentally neglected it to the point of its cooling to room temp.