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refactor: moving public inputs back to instance (#5315)
Previously I moved the verifier public inputs from the verifier instance to the verification key since I was mirroring the Prover side. However, this asymmetry is what we actually want. The verification key should store only circuit related data, and the verifier should receive the public inputs through the proof. This work moves the public inputs back to the verifier instance. OinkOutput now also contains the public inputs to enable passing them back to the instance.
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