feat: add Mux icon to client column in AI Bridge request log page (#22386)

Adds Mux to the recognized clients list in AI Bridge documentation.

Adds Mux icon to AI Bridge requests log page:
<img width="1886" height="848" alt="image"
src="https://github.com/user-attachments/assets/e7cb8d47-595c-4be3-93c9-00dbea3d1153"
/>

docs/ai-coder/ai-bridge/monitoring.md

@@ -39,6 +39,7 @@ Available query filters:
   - `GitHub Copilot (VS Code)`
   - `GitHub Copilot (CLI)`
   - `Kilo Code`
+  - `Mux`
   - `Roo Code`
   - `Cursor`
   - `Unknown`