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Dear John,
Have you considered drinking your tea straight? I for one started after I realized I looked rather silly adding sugar packets to my green tea at the Chinese restaurants I frequent. I have since grown to liking the bitter, soothing taste as it does grow on you after a while. Of course, this also eliminates the problems of your tea being too sour and running out of milk; assuming you dislike sour more than bitter. If, however, you rather add something to your tea I would add something sweet to counter the sour. My personal favorite would be honey but sugar will do in a pinch.
Best wishes,
John