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There is no 'handily' beating Krayt... unless your name is Abeloth.

Round 1: FTOJ Krayt that was giving Luke Hassle
Round 2: Reborn Krayt, who was suppose to be more powerful than that.

*Sidious' political power not withstanding

Nah, Sidious' political power ensured that Yoda couldn't defeat him, and Yoda can certainly take down Krayt. Sidious should have this in the bag by virtue of being the most politically powerful Sith ever.

And since Sidious is so good at politics, he'll find a way to circumvent your restriction against his use of politics.

Krayt gets beaten handily.