Dumbo, Ninth Wonder of the Universe has the excellent Evasive keyword, meaning that he can only be challenged by opposing players who also have Evasive

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"Whenever this creature mutates..." triggers will not happen because it's not mutating
If you try really hard, you can actually squeeze parts from one machine into another, and it works just fine
Another relevant Entwine shoutout is Savage Beating from Darksteel and reprinted in Commander Masters
She used her own 401K to start the program