Aspire Debug with Dev Kit and Not the Aspire Plugin in Vs Code hangs

### Is there an existing issue for this?

- [x] I have searched the existing issues

### Describe the bug

While trying to work around this: https://github.com/dotnet/aspire/issues/12965#issuecomment-3608272670

I attempted to use the old debug session functionality:

```
{
"name": "Debug - Old",
"type": "dotnet",
"request": "launch",
"projectPath": "${workspaceFolder}/AppHost/AppHost.csproj",
"serverReadyAction": {
"action": "openExternally",
"killOnServerStop": true
}
},

```

When you do this, effectively always, at least one project will hang with:

```
Waiting for resource ready to execute for 'RavenDbServer'.
Finished waiting for resource 'RavenDbServer'.
Finished waiting for resource 'RavenDb'.
Timeout of 120 seconds exceeded waiting for the IDE to start a run session; you can set the DCP_IDE_REQUEST_TIMEOUT_SECONDS environment variable to override this timeout (in seconds) {"Executable": "/migrations-rbcvrsed", "Reconciliation": 12, "error": "Put \"https://localhost:49879/run_session?api-version=2024-04-23\": context deadline exceeded"}
```

### Expected Behavior

It should startup normally.

### Steps To Reproduce

Use C# Dev Kit latest version on windows or mac. This happens consistently with a console app.

Resources:
Redis
RabbitMQ
RavenDb

The console app is waiting for all 3 to startup, and once complete then it executes but right now, it fails with the above. This didn't happen in previous versions of C# DevKit so I believe it's a new issue.

Dev Kit Version: 1.83.5

### Exceptions (if any)

Timeout of 120 seconds exceeded waiting for the IDE to start a run session; you can set the DCP_IDE_REQUEST_TIMEOUT_SECONDS environment variable to override this timeout (in seconds) {"Executable": "/migrations-rbcvrsed", "Reconciliation": 12, "error": "Put \"https://localhost:49879/run_session?api-version=2024-04-23\": context deadline exceeded"}

### .NET Version info

.NET SDK:
Version: 10.0.100
Commit: b0f34d51fc
Workload version: 10.0.100-manifests.4c0ca8ba
MSBuild version: 18.0.2+b0f34d51f

Runtime Environment:
OS Name: Mac OS X
OS Version: 26.1
OS Platform: Darwin
RID: osx-arm64
Base Path: /usr/local/share/dotnet/sdk/10.0.100/

.NET workloads installed:
There are no installed workloads to display.
Configured to use workload sets when installing new manifests.
No workload sets are installed. Run "dotnet workload restore" to install a workload set.

Host:
Version: 10.0.0
Architecture: arm64
Commit: b0f34d51fc

.NET SDKs installed:
8.0.416 [/usr/local/share/dotnet/sdk]
9.0.308 [/usr/local/share/dotnet/sdk]
10.0.100 [/usr/local/share/dotnet/sdk]

.NET runtimes installed:
Microsoft.AspNetCore.App 8.0.15 [/usr/local/share/dotnet/shared/Microsoft.AspNetCore.App]
Microsoft.AspNetCore.App 8.0.22 [/usr/local/share/dotnet/shared/Microsoft.AspNetCore.App]
Microsoft.AspNetCore.App 9.0.6 [/usr/local/share/dotnet/shared/Microsoft.AspNetCore.App]
Microsoft.AspNetCore.App 9.0.11 [/usr/local/share/dotnet/shared/Microsoft.AspNetCore.App]
Microsoft.AspNetCore.App 10.0.0-preview.5.25277.114 [/usr/local/share/dotnet/shared/Microsoft.AspNetCore.App]
Microsoft.AspNetCore.App 10.0.0 [/usr/local/share/dotnet/shared/Microsoft.AspNetCore.App]
Microsoft.NETCore.App 8.0.15 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 8.0.18 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 8.0.19 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 8.0.20 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 8.0.21 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 8.0.22 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 9.0.6 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 9.0.7 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 9.0.8 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 9.0.9 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 9.0.10 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 9.0.11 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 10.0.0-preview.5.25277.114 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 10.0.0-preview.6.25358.103 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 10.0.0-preview.7.25380.108 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 10.0.0-rc.1.25451.107 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]
Microsoft.NETCore.App 10.0.0 [/usr/local/share/dotnet/shared/Microsoft.NETCore.App]

Other architectures found:
None

Environment variables:
Not set

### Anything else?

VS Code

Reproduce the hang in VS Code with the shown C# Dev Kit launch configuration on Windows or macOS, using an AppHost with Redis, RabbitMQ, and RavenDB resources. Start by tracing the IDE run-session request and the 120-second timeout around /run_session, then verify that the console app starts after all resources are ready without the context deadline exceeded error.

Written by the indexing model from the issue text.