[FEATURE] Allow uint partial note to be created and completed from private in the same tx

[ilpepepig]

Problem Statement

complete_from_private requires the siloed_validity_commitment nullifier of the given partial note to be settled. However, in some use cases, it might be desirable to complete it in the same tx in which it was created, in which case it would not be possible to prove_nullifier_inclusion.

Proposed Solution

Support transient siloed_validity_commitment nullifiers by using push_nullifier_read_request.

Example Use Case

No response

Alternative Solutions

No response

Additional Context

v3.0.0-devnet.20251212