Does this issue occur when all extensions are disabled?: Yes/No

• VS Code Version:
  1.104.0 (Insider)
• OS Version:
  Windows 11

Steps to Reproduce:

1. Create an MCP server that can update its tools dynamically.
   For example, the server starts with 3 tools: "greet", "calculate", and "get-status".
   After calling any of these tools, a new tool is added — for example, "followup".
2. Add the MCP server to your workspace.
3. Run this prompt:

Greet Lukasz and then do a follow-up

4. Check the debug logs.
   On the second completion call, you’ll see that only the original 3 tools are included, even though all 4 tools were discovered.

Note: The timing in the output window is UTC+2h