How do I assemble a sprocket and chain drive with translating sprockets

So I have a three sprocket and chain drive. Forming a right angle triangle. The middle one is fixed and the sprockets at the two ends of the hypotenuse translates to maintain constant chain length. I'm confused as to what constraints and mechanism models I have to create to make this work.

Pls note.. the shaft of the sprocket runs independent of the rotation of the sprocket. Imagine a ball bearing between the sprocket and the shaft.

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