I will go with the general concensus; washing a teapot, cups & saucers is far too much like hard work.
What is wrong with a teabag in a mug? You can always hang it up to drip dry, then use it again.
All this brings us to another question that needs answering: How many brews can you force out of a recycled teabag?

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Connect it: Red > Yellow, Yellow > Blue, & Blew to ....'kin bits!
Any ramblings, meanderings, thoughts or musings are mine and mine alone. Any opinions expressed are Lettie's!