[BUG] Hot Reload not properly reloading changes

[InclementDab]

Describe the Issue

Version 1.15.13 Pre-release.

Hot reload diagnostic output provides the following information:

2025-01-04 14:02:51.956 [info]  Starting session.
2025-01-04 14:03:21.483 [info]  💡 Possible code changes were found.
2025-01-04 14:03:22.149 [info]  Checking for code updates...
2025-01-04 14:03:22.179 [info]  Exception thrown for Check for code updates: 0x80131500 - Unable to find method 'GetUpdatesAsync/1' on {no object} for the following reasons: Microsoft.CodeAnalysis.EditAndContinue.ManagedHotReloadLanguageServiceBridge.GetUpdatesAsync(CancellationToken) parameter(s) (excluding any CancellationToken): 0 - 0, but the request supplies 1
2025-01-04 14:03:22.179 [info]  Stack trace for RemoteMethodNotFoundException:
   at StreamJsonRpc.JsonRpc.InvokeCoreAsync[TResult](RequestId id, String targetName, IReadOnlyList`1 arguments, IReadOnlyList`1 positionalArgumentDeclaredTypes, IReadOnlyDictionary`2 namedArgumentDeclaredTypes, CancellationToken cancellationToken, Boolean isParameterObject)
   at Microsoft.VisualStudio.Debugger.Shared.Utilities.LoggerExtensions.LogOnExceptionAsync[T](ValueTask`1 this, LoggerInformation loggerInformation, Boolean propagateException)
2025-01-04 14:03:22.182 [info]  An unexpected error has occurred, any pending updates have been discarded.
2025-01-04 14:03:22.189 [info]  ❌ Hot Reload failed due to an unexpected error.
2025-01-04 14:03:22.217 [info]  Exception found while applying code changes: Error: Unable to find method 'GetUpdatesAsync/1' on {no object} for the following reasons: Microsoft.CodeAnalysis.EditAndContinue.ManagedHotReloadLanguageServiceBridge.GetUpdatesAsync(CancellationToken) parameter(s) (excluding any CancellationToken): 0 - 0, but the request supplies 1```

**Version 1.14.14**, with identical project configuration, files and steps.

Note: While stating things were successfully applied, there are no changes to the program without restarting.

Output:

2025-01-04 14:06:52.418 [info] Starting session.
2025-01-04 14:06:59.610 [info] 💡 Possible code changes were found.
2025-01-04 14:07:00.418 [info] Checking for code updates...
2025-01-04 14:07:00.483 [info] Applying code updates...
2025-01-04 14:07:00.968 [info] Code changes were successfully applied.

### Steps To Reproduce

1. Create console dotnet project `dotnet new console -n "Test"`
2. Paste the following code ``` while (true) {
    Console.WriteLine("Hello, World!");
    Thread.Sleep(1000);
}```
3. Comment out `Console.WriteLine`, hot reload
4. Prints continue!

### Expected Behavior

Print stop :)

### Environment Information

- Extension version 1.14.14
- Windows 11