feat: add interactive permission prompt UI to Inspector

Add permission request handling to the Inspector UI so users can
Allow, Always Allow, or Reject tool calls that require permissions
instead of having them auto-cancelled. Wires up SDK
onPermissionRequest/respondPermission through App → ChatPanel →
ChatMessages with proper toolCallId-to-pendingId mapping.

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

docs/processes.mdx

@@ -9,7 +9,7 @@ The process API supports:
 
 - **One-shot execution** — run a command to completion and capture stdout, stderr, and exit code
 - **Managed processes** — spawn, list, stop, kill, and delete long-lived processes
-- **Log streaming** — fetch buffered logs or follow live output via SSE
+- **Log streaming** — fetch buffered logs or follow live output
 - **Terminals** — full PTY support with bidirectional WebSocket I/O
 - **Configurable limits** — control concurrency, timeouts, and buffer sizes per runtime
 
@@ -155,7 +155,7 @@ curl "http://127.0.0.1:2468/v1/processes/proc_1/logs?tail=50&stream=combined"
 ```
 </CodeGroup>
 
-### Follow logs via SSE
+### Follow logs
 
 Stream log entries in real time. The subscription replays buffered entries first, then streams new output as it arrives.