[AspireE2E] This project cannot be opened automatically in the browser after running Aspire 13.5 project with `dotnet watch`

**REGRESSION INFO:** Work well in Aspire. 13.4.6

**INSTALL STEPS**:
1. Clean machine: Win11 x64 25h2 ENU
1. Install SDK 10.0.301
1. Add feed
1. Install Aspire 13.5 CLI `iex "& { $(irm https://aspire.dev/install.ps1) } -Quality dev"`

**REPRO STEPS**:
1. Open CMD and create an Aspire Starter App (ASP.NET Core/Blazor) project
```
dotnet new aspire-starter -o aspire01
cd aspire01/aspire01.AppHost
```
1. Run with `dotnet watch`

**ACTUAL**
This project cannot be opened automatically in the browser.

**Error Logs**

[dotnetwatch.txt](https://github.com/user-attachments/files/29841177/dotnetwatch.txt)

Reproduce the regression from a clean Windows 11 machine using the Aspire 13.5 CLI, `dotnet new aspire-starter`, and `dotnet watch` from `aspire01/aspire01.AppHost`. Start by reading the attached `dotnetwatch.txt` error log and compare the behavior with Aspire 13.4.6; done means the project opens automatically in the browser again.

Written by the indexing model from the issue text.