Peer Disconnect Reconnect Replication Issue

### Tested versions

- Reproducible 4.2.1, 4.3-dev4

### System information

Ubuntu 22.04 - Godot 4.2.1

### Issue description

If a MultiplayerSynchronizer's SceneReplicationConfig is modified via script and client disconnects and reconnects. Previous multiplayer unique id replication is still cached and throughs errors. Newly connected Clients are no longer replicated.

If replication_config is not touched with script there is no issue.

### Steps to reproduce

Peer Connects
Create "player" with MultiplayerSynchronizer
- add new property to replication_config
Disconnect player
Reconnect player

### Minimal reproduction project (MRP)

[client_reconnect_issue.zip](https://github.com/godotengine/godot/files/14476194/client_reconnect_issue.zip)

Project has interface to reproduce issue.
Read short instructions watch output.

Example output
```
Server started putting api on node /root/main/Server
Client started putting api on node /root/main/Client
Client : peer connected 1
Server : peer connected 2076042518
Client: _exit_tree()
Server : peer disconnected 2076042518
2076042518: removing peer
Client started putting api on node /root/main/Client
Client : peer connected 1
Server : peer connected 601296107

E 0:00:09:0138 multiplayer_api.gd:42 @ _on_peer_connected(): Node '/root/main/Server/2076042518:dynamic_sync' not found.
Condition "!node || !node->has_node(p_path)" is true. Returning: nullptr
modules/multiplayer/multiplayer_synchronizer.cpp:41 @ _get_prop_target()
multiplayer_api.gd:42 @ _on_peer_connected()

E 0:00:09:0138 multiplayer_api.gd:42 @ _on_peer_connected(): Parameter "obj" is null.
modules/multiplayer/multiplayer_synchronizer.cpp:164 @ get_state()
multiplayer_api.gd:42 @ _on_peer_connected()

E 0:00:09:0138 multiplayer_api.gd:42 @ _on_peer_connected(): Unable to retrieve spawn state.
Condition "err != OK" is true. Returning: err
modules/multiplayer/scene_replication_interface.cpp:516 @ _make_spawn_packet()
multiplayer_api.gd:42 @ _on_peer_connected()

E 0:00:09:0138 multiplayer_api.gd:42 @ _on_peer_connected(): Condition "!p_buffer || p_size < 1" is true. Returning: ERR_INVALID_PARAMETER
modules/multiplayer/scene_replication_interface.cpp:462 @ _send_raw()
multiplayer_api.gd:42 @ _on_peer_connected()

endless repeat of errors...

E 0:00:11:0154 _get_prop_target: Node '/root/main/Server/2076042518:dynamic_sync' not found.
Condition "!node || !node->has_node(p_path)" is true. Returning: nullptr
modules/multiplayer/multiplayer_synchronizer.cpp:41 @ _get_prop_target()
E 0:00:11:0154 _watch_changes: Node not found for property '/root/main/Server/2076042518:dynamic_sync'.
Condition "!obj" is true. Continuing.
modules/multiplayer/multiplayer_synchronizer.cpp:389 @ _watch_changes()

```