Hi, I'm a little confused this card Mythos of Nethroi. If I pay 2B it will destroy only a target creature, but if I pay WGB it will destroy target nonland permanent, correct?
You can target any nonland permanent with Mythos of Nethroi, no matter what you choose to spend to cast it. However, when Mythos of Nethroi resolves with a legal target, the target won't be destroyed if—
that target isn't a creature, and
GW wasn't spent to cast Mythos of Nethroi.
For example, say an opponent of yours controls Howling Mine. You cast Mythos of Nethroi, targeting Howling Mine and spending BBB. In response, you cast Karn's Touch targeting Howling Mine. All players pass, then Karn's Touch resolves and turns Howling Mine into an artifact creature. Then all players pass, then Mythos of Nethroi resolves; Howling Mine is destroyed since it's now a creature.
Mythos of Nethroi can target any nonland permanent. Determine as the spell resolves whether the permanent is destroyed, either because it’s a creature at that time or because GreenWhite was spent to cast the spell.
If you think about it, B can easily destroy creatures. G and W can easily destroy artifacts and enchantments. If you spend B it can destroy a creature, but if you spend BGW it can destroy any nonland permanent.
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For example, say an opponent of yours controls Howling Mine. You cast Mythos of Nethroi, targeting Howling Mine and spending BBB. In response, you cast Karn's Touch targeting Howling Mine. All players pass, then Karn's Touch resolves and turns Howling Mine into an artifact creature. Then all players pass, then Mythos of Nethroi resolves; Howling Mine is destroyed since it's now a creature.
EDIT (Jul. 20, 2023): Clarification.
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Want to play a UW control deck in modern, but don't have jace or snaps?
Please come visit us at the Emeria Titan control thread
Mythos of Nethroi can target any nonland permanent. Determine as the spell resolves whether the permanent is destroyed, either because it’s a creature at that time or because GreenWhite was spent to cast the spell.
If you think about it, B can easily destroy creatures. G and W can easily destroy artifacts and enchantments. If you spend B it can destroy a creature, but if you spend BGW it can destroy any nonland permanent.