Feel free to invent a new tendency
Like the Trots keep doing? (Party splits)
Or... Trot pretending to be a proper ML... I've run into a few of those. Most Trots are proud of being Trots (they shouldn't be, but at least it makes 'em easy to spot and ignore), but there's a few weirdos out there...
You're specifically the British or English local party of whatever your tendency is, then. Tendency probably depends on whether you use individual mugs or a teapot, how you heat the water, and whether you use teabags or looseleaf, and if looseleaf, the exact way that you put it into the water and remove it from the steeped tea.
(Or, you're a modern Chinese commie, see the pics of Xi with two teacups in front of him. But I like the British party branch joke better. Took me longer to write.)