* refactor(privacy_preserving_circuit): extract functions for readability
* feat: update commitment mechanism for new private accounts
Allow init accounts to optionally use a real membership proof for
DUMMY_COMMITMENT instead of hardcoding DUMMY_COMMITMENT_HASH as the
CommitmentSetDigest. The wallet fetches the proof from the sequencer
and passes it through the circuit.
* fix: address clippy lints and fix integration test visibility
* add tests
* refactor: removed duplicated code
* refactor: simplify init nullifier mechanism
Replace Option<MembershipProof> with Option<CommitmentSetDigest> on init
variants (PrivateAuthorizedInit, PrivateUnauthorized, PrivatePdaInit).
The circuit now receives the commitment tree root directly instead of
recomputing it from a Merkle proof.
* refactor: use CommitmentSetDigest directly instead of Option for init commitment root
Address PR #546 review feedback: the circuit now accepts CommitmentSetDigest
directly on init variants (PrivateAuthorizedInit, PrivateUnauthorized,
PrivatePdaInit), with callers providing DUMMY_COMMITMENT_HASH as the default.
Also fixes duplicate resolve_external_seed from rebase and rebuilds artifacts.
