fix(mcp): Adjust for no tools_update notification on claude/codex (backport #21820)

[mergify]

PR Type:

• 🐞 Bugfix

What is the new behavior? 🚀

Fixes invalid tools listing and CLIs for more platforms in docs for claude and codex

PR Checklist ✅

Please check if your PR fulfills the following requirements:

• 📝 Commits must be following the Conventional Commits specification.
• 🧪 Added Runtime tests, UI tests, or a manual test sample for the changes have been added (for bug fixes / features) (if applicable)
• 📚 Docs have been added/updated which fit documentation template (for bug fixes / features)
• 🖼️ Validated PR Screenshots Compare Test Run results.
• ❗ Contains NO breaking changes

Other information ℹ️

---

This is an automatic backport of pull request #21820 done by [Mergify](https://mergify.com).

[mergify]

Cherry-pick of 6480e23 has failed:

On branch mergify/bp/release/stable/6.4/pr-21820
Your branch is up to date with 'origin/release/stable/6.4'.

You are currently cherry-picking commit 6480e23a65.
  (fix conflicts and run "git cherry-pick --continue")
  (use "git cherry-pick --skip" to skip this patch)
  (use "git cherry-pick --abort" to cancel the cherry-pick operation)

Changes to be committed:
	modified:   doc/articles/get-started-ai-claude.md
	modified:   doc/articles/get-started-ai-codex.md
	modified:   doc/articles/get-started-ai-gh-copilot-cli.md
	modified:   src/Uno.UI.DevServer.Cli/CliManager.cs
	modified:   src/Uno.UI.DevServer.Cli/Mcp/McpProxy.cs

Unmerged paths:
  (use "git add <file>..." to mark resolution)
	both modified:   src/Uno.UI.DevServer.Cli/Program.cs

To fix up this pull request, you can check it out locally. See documentation: https://docs.github.com/en/pull-requests/collaborating-with-pull-requests/reviewing-changes-in-pull-requests/checking-out-pull-requests-locally

[unodevops]

🤖 Your WebAssembly Skia Sample App stage site is ready! Visit it here: https://unowasmprstaging.z20.web.core.windows.net/pr-21831/wasm-skia-net9/index.html

[unodevops]

🤖 Your Docs stage site is ready! Visit it here: https://unodocsprstaging.z13.web.core.windows.net/pr-21831/docs/index.html

[unodevops]

🤖 Your Docs stage site is ready! Visit it here: https://unodocsprstaging.z13.web.core.windows.net/pr-21831/docs/index.html

[unodevops]

🤖 Your WebAssembly Skia Sample App stage site is ready! Visit it here: https://unowasmprstaging.z20.web.core.windows.net/pr-21831/wasm-skia-net9/index.html

[nventive-devops]

The build 182688 did not find any UI Test snapshots differences.