Client state store persisted with incorrect allocation state

### Nomad version
`1.9.3`

### Operating system and Environment details
`Ubuntu 24.04.1`

### Issue
Periodic snapshots and saving state during Nomad client process shutdown save incorrect allocation state.

### Reproduction steps
Run a simple job like the one listed below. Stop the job, then shutdown the Nomad process. Run `nomad operator client-state /path/to/statestore | jq | grep "ClientStatus"` and see the result is "running" even though the job was completed.

Optionally throw a log in the allocRunner's `PersistState` method printing out the allocs ClientStatus and see that it is incorrect. (It gets persisted as `pending` roughly ~30 seconds after being marked healthy)

#### Expected Result
The `ClientStatus` should be `completed`

#### Actual Result
The `ClientStatus` shows `running`

### Job file (if appropriate)
```
job "test" {
type = "service"

group "echo" {

task "hello" {
driver = "exec"

config {
command = "sleep"
args = ["5000s"]
}
}
}
}
```

### Nomad Server logs (if appropriate)
N/A

### Nomad Client logs (if appropriate)
Output of `nomad job status`
```
ID Type Priority Status Submit Date
test service 50 dead (stopped) 2024-12-17T13:06:23-05:00
```
Logs:
```
2024-12-17T13:06:28.909-0500 [INFO] client.alloc_runner.task_runner: Task event: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 task=hello type=Terminated msg="Exit Code: 137, Signal: 9" failed=false
2024-12-17T13:06:28.918-0500 [DEBUG] client.driver_mgr.exec.executor.stdio: received EOF, stopping recv loop: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 driver=exec task_name=hello err="rpc error: code = Unavailable desc = error reading from server: EOF"
2024-12-17T13:06:28.929-0500 [INFO] client.driver_mgr.exec.executor: plugin process exited: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 driver=exec task_name=hello plugin=/usr/local/bin/nomad id=31528
2024-12-17T13:06:28.929-0500 [DEBUG] client.driver_mgr.exec.executor: plugin exited: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 driver=exec task_name=hello
2024-12-17T13:06:28.930-0500 [INFO] client.alloc_runner.task_runner: Task event: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 task=hello type=Killed msg="Task successfully killed" failed=false
2024-12-17T13:06:28.938-0500 [DEBUG] client.alloc_runner.task_runner.task_hook.logmon.stdio: received EOF, stopping recv loop: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 task=hello err="rpc error: code = Unavailable desc = error reading from server: EOF"
2024-12-17T13:06:28.941-0500 [INFO] client.alloc_runner.task_runner.task_hook.logmon: plugin process exited: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 task=hello plugin=/usr/local/bin/nomad id=31520
2024-12-17T13:06:28.941-0500 [DEBUG] client.alloc_runner.task_runner.task_hook.logmon: plugin exited: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 task=hello
2024-12-17T13:06:28.942-0500 [DEBUG] client.alloc_runner.task_runner: task run loop exiting: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 task=hello
2024-12-17T13:06:28.942-0500 [INFO] client.gc: marking allocation for GC: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0
2024-12-17T13:06:29.223-0500 [DEBUG] client: updated allocations: index=8495 total=1 pulled=0 filtered=1
2024-12-17T13:06:29.225-0500 [DEBUG] client: allocation updates: added=0 removed=0 updated=0 ignored=1
2024-12-17T13:06:29.227-0500 [DEBUG] client: allocation updates applied: added=0 removed=0 updated=0 ignored=1 errors=0
^C==> Caught signal: interrupt
2024-12-17T13:06:32.341-0500 [INFO] agent: requesting shutdown
2024-12-17T13:06:32.341-0500 [INFO] client: shutting down
2024-12-17T13:06:32.347-0500 [INFO] client.plugin: shutting down plugin manager: plugin-type=device
2024-12-17T13:06:32.348-0500 [INFO] client.plugin: plugin manager finished: plugin-type=device
2024-12-17T13:06:32.349-0500 [INFO] client.plugin: shutting down plugin manager: plugin-type=driver
2024-12-17T13:06:32.370-0500 [INFO] client.plugin: plugin manager finished: plugin-type=driver
2024-12-17T13:06:32.371-0500 [INFO] client.plugin: shutting down plugin manager: plugin-type=csi
2024-12-17T13:06:32.371-0500 [INFO] client.plugin: plugin manager finished: plugin-type=csi
2024-12-17T13:06:32.371-0500 [DEBUG] client.server_mgr: shutting down
2024-12-17T13:06:32.372-0500 [INFO] client.alloc_runner: Persisting ClientStatus to state store: alloc_id=419af277-aaf1-83cf-24a1-74c60a4b1cc0 EXTRA_VALUE_AT_END=running
```

Start by tracing allocation state updates through the allocRunner PersistState method and the client shutdown path. Reproduce the report with the supplied job, stop it, shut down Nomad, and inspect `nomad operator client-state /path/to/statestore | jq | grep "ClientStatus"`. Done means a completed allocation is persisted with ClientStatus `completed`, rather than `running` or `pending`.

Written by the indexing model from the issue text.