feat(terminal): add persistent websocket transport for low-latency input (#348)

* fix(server): resolve terminal WebSocket proxy conflict and implement server-side transport

- Disables proxy websocket handling conflict in server proxy config to fix 1006 abnormal closes.
- Implements server-side WebSocket upgrade and connection handling for terminal input.
- Adds server-side debug instrumentation for WS lifecycle events.
- Includes terminal input WS protocol definition and unit tests.

* feat(ui): implement hardened terminal WebSocket transport with idempotency and diagnostics

- Adds client-side WebSocket transport manager with automatic reconnection and jitter.
- Implements idempotency and debug instrumentation for terminal input WS.
- Adds HMR dispose cleanup for terminal WS transport manager.
- Primes terminal input transport when terminal view becomes active.
- Updates terminal session types to include input capabilities.

* refactor(terminal): remove temporary websocket debug instrumentation

packages/ui/src/components/views/TerminalView.tsx

@@ -17,6 +17,7 @@ import { useUIStore } from '@/stores/useUIStore';
 import { Button } from '@/components/ui/button';
 import { useDeviceInfo } from '@/lib/device';
 import { useRuntimeAPIs } from '@/hooks/useRuntimeAPIs';
+import { primeTerminalInputTransport } from '@/lib/terminalApi';
 
 type Modifier = 'ctrl' | 'cmd';
 type MobileKey =
@@ -178,6 +179,14 @@ export const TerminalView: React.FC = () => {
     const activeMainTab = useUIStore((state) => state.activeMainTab);
     const isTerminalActive = activeMainTab === 'terminal';
 
+    React.useEffect(() => {
+        if (!isTerminalActive || runtime.platform === 'vscode') {
+            return;
+        }
+
+        primeTerminalInputTransport();
+    }, [isTerminalActive, runtime.platform]);
+
     React.useEffect(() => {
         terminalIdRef.current = terminalSessionId;
     }, [terminalSessionId]);