Pulse dry ingredients in food processor to pulverize tea leaves. Add vanilla, butter and pulse, adding as little water as necessary to form loose dough. Divide into two 2" logs and roll with parchment paper. Chill 30 min.
Cut into 1/4"-thick wafers and bake at 375° on parchment until edges start to brown, about 12 min.
Shake over ice; serve over ice. Substitute sour mix for fresh lime juice.
Combine ingredients in order in mixer. Form into tablespoon-sized balls on cookie sheet and bake at 350° until golden brown, about 12 minutes.