For Clefable's "Moonlit Miracle" attack, if I flip two or more Heads can I search for a Stage 1 card that evolves from one of my Pokemon and then search for the Stage 2 card and evolve it again?
No, you must choose your Pokemon first, and then search your deck to evolve those Pokemon
Source: Brilliant Stars FAQ; TPCi Rules Team (2022-02-24)

Relevant cards

Note: All applicable cards may not be listed below.
SWSH9_55
SWSH9_55