feat(spotify): report resolved backend + binaryAvailable on /status; share backend resolver [S4.2]

Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>

src/music/spotify/backend-select.ts

@@ -0,0 +1,25 @@
+/** Which concrete backend runs for a given config + host binary availability. */
+export type SpotifyBackendKind = "go-librespot" | "librespot";
+
+/**
+ * Pure backend selection shared by SpotifyController.chooseBackend() (per-bot)
+ * and the web /status endpoint (process-wide). Booleans in, no IO — the caller
+ * supplies platform+binary presence.
+ */
+export function resolveSpotifyBackendKind(
+  backend: "auto" | "go-librespot" | "librespot",
+  goPresent: boolean,
+  rustPresent: boolean,
+): SpotifyBackendKind | null {
+  switch (backend) {
+    case "go-librespot":
+      return goPresent ? "go-librespot" : null;
+    case "librespot":
+      return rustPresent ? "librespot" : null;
+    case "auto":
+    default:
+      if (goPresent) return "go-librespot";
+      if (rustPresent) return "librespot";
+      return null;
+  }
+}