You should never sign a contract without a lawyer reading it for you. There's nothing else to say.
Article 3 Section 2: "The judicial Power shall extend to all Cases, in Law and Equity, arising under this Constitution..."
As plain as you can get. Not "some" but "all" cases in law and equity under this Constitution.
And thus by you own admission "QED"...
Or as the kids say, game... set... match.
Thanks for playing Sparky.