Yuck. Even when I run it through the dishwasher, it still has that brown film at the bottom. Cleaning the cofffee pot with vinegar helps, but I'm left with the same problem. My vegetable scrub brush doesn't reach the corners. I just rinse it, not clean it after every pot, so it builds up.
My coffee pot is white, so it's really obvious. If yours is black, you don't even want to know what's camoflaged at the bottom of that basket!
TIA!