: Put a tea party counter on each "Insomniac Dormouse", "Sane Hatter" and "September Hare".: Rest target resonator with total cost less than or equal to the number of tea party counters on this card. It doesn't recover during its controller's next recovery phase. Then remove all tea party counters on this card.
"You guys have certainly changed a bit" - Alice, the Valkyrie of Fairy Tales
The removal of the counter when using this ability is a removal by effect, not a cost to activate. Alice, the Valkyrie of Fairy Tales continuous ability prevents the removal of tea party counters for this card.