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If, for example, you sacrifice Edgar to pay an additional cost of the spell or Edgar is destroyed in response, the spell will still resolve normally

We can see hints of this in Tarmogoyfs reminder text, which mentions planeswalker as a permanent type

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AC04-JP020 [] Entermage Wind Sucker (Performage Wind Drainer) Level 5 WIND Spellcaster Pendulum Effect Monster ATK 2100 DEF 0 Pendulum Scale: 4 Pendulum Effect: (1) Once per turn: You can target 1 Performage Pendulum Monster you control to activate 1 of these effects

So why not go for making them as pimped out as humanly possible