feat: companion app improvements and intro overlay

Android: NES controller/keyboard enhancements, WebSocket reconnect,
portrait mode. Backend: remote input handler updates. UI: companion
intro overlay on dashboard, relay improvements.

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

Android/app/build.gradle.kts

@@ -11,8 +11,8 @@ android {
         applicationId = "com.archipelago.app"
         minSdk = 26
         targetSdk = 35
-        versionCode = 1
-        versionName = "0.1.0"
+        versionCode = 4
+        versionName = "0.4.0"
 
         vectorDrawables {
             useSupportLibrary = true