I drink my tea strong with very little milk. I use the same mug all the time and I don't allow my wife to bleach it. The inside builds up a satisfying coating which resists washing up liquid and scouring.
My darling beloved's own tea is what I call children's tea - weak and milky. Her cup never gets stained.
What is the brown stuff ('tannins' will not count as an answer)? Does milk somehow neutralise it? How does it get out of the teabag if it's so insoluble? Does bleach remove it or just remove the colour? Is there a good way to get rid of it?