First time I've ever heard of "Dope tea" actually containing tea.
I always simmered 1/4 stick of butter 5 cups of milk and a bit of vanilla in a pot and I put grinded up bud (Usually a gram is all) into a teabag I had removed the tea from. Put the teabag in the water and put a spoon or something on it to keep it at the bottom and stir it occasionally for an hour and a half. Remove it from heat add a bit of cinnamon and allspice, drink up. It's really good tasting, I can't imagine adding tea to take away my beloved cannabis taste.