Unable to show projects with the same name in different paths at the same time in C# Project Detail

1.Not a regression.
2.Low priority.

Describe the issue

Unable to show projects with the same name in different paths at the same time in C# Project Detail.

Collect logs

csdevkit-logs-2026-07-31T03-25-53.zip

Steps to reproduce

1.Create a C# ConsoleApp->Add 2 new folders in the Explorer (The paths of the new folders are on the same level as the console project folder.)
2.Add a WebApplication project to the two folders separately.
3.Observe the C# Project Details.

Expected behavior

1.C# Project Details should show projects with the same name in different paths.
2.Or automatically sort them when creating the project, even if their paths are different.

Environment information

.NET Install Tool: Pre-release 3.1.0
C# Dev Kit Extension: Pre-release v3.27.234
C# Extension: Pre-release v2.147.94
.NET SDKs:  11.0.100-preview.6.26359.118
VSCode Insiders: 1.132.0
Platform: Windows X64 

Start by reproducing the issue in C# Project Details using the listed steps: create two folders and add same-named WebApplication projects to each. Compare how the projects are identified when their paths differ, then verify that both projects can be shown simultaneously or are sorted distinctly by path. No source file or test is named in the report.