[Bridge Node] CP 19700

[williampsmith]

Description

Cherry pick https://github.com/MystenLabs/sui/pull/19775/ + https://github.com/MystenLabs/sui/pull/19700/

Test plan

Ran on testnet bridge client and observed logs during bridge 2 way transactions

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Release notes

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• [ ] Protocol:
• [ ] Nodes (Validators and Full nodes):
• [ ] Indexer:
• [ ] JSON-RPC:
• [ ] GraphQL:
• [ ] CLI:
• [ ] Rust SDK:
• [ ] REST API:

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