Cherry pick 19246 (finalize bridge committee on mainnet in protocol v…

…ersion 58) (#19268)

## Description 

#19246

## Test plan 

How did you test the new or updated feature?

---

## Release notes

Check each box that your changes affect. If none of the boxes relate to
your changes, release notes aren't required.

For each box you select, include information after the relevant heading
that describes the impact of your changes that a user might notice and
any actions they must take to implement updates.

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

crates/sui-protocol-config/src/lib.rs

@@ -173,6 +173,7 @@ const MAX_PROTOCOL_VERSION: u64 = 58;
 //             Note: do not use version 56 for any new features.
 // Version 57: Reduce minimum number of random beacon shares.
 // Version 58: Optimize boolean binops
+//             Finalize bridge committee on mainnet.
 
 #[derive(Copy, Clone, Debug, Hash, Serialize, Deserialize, PartialEq, Eq, PartialOrd, Ord)]
 pub struct ProtocolVersion(u64);
@@ -2708,7 +2709,11 @@ impl ProtocolConfig {
                     // Reduce minimum number of random beacon shares.
                     cfg.random_beacon_reduction_lower_bound = Some(800);
                 }
-                58 => {}
+                58 => {
+                    if chain == Chain::Mainnet {
+                        cfg.bridge_should_try_to_finalize_committee = Some(true);
+                    }
+                }
                 // Use this template when making changes:
                 //
                 //     // modify an existing constant.

crates/sui-protocol-config/src/snapshots/sui_protocol_config__test__Mainnet_version_58.snap

@@ -319,6 +319,6 @@ max_deferral_rounds_for_congestion_control: 10
 min_checkpoint_interval_ms: 200
 checkpoint_summary_version_specific_data: 1
 max_soft_bundle_size: 5
-bridge_should_try_to_finalize_committee: false
+bridge_should_try_to_finalize_committee: true
 max_accumulated_txn_cost_per_object_in_mysticeti_commit: 10