docs: update install docs and release automation

scripts/build_release.sh

@@ -216,8 +216,10 @@ generate_appcast
 
 if [[ -n "${GITEA_TOKEN:-}" && -n "${GITEA_OWNER:-}" && -n "${GITEA_REPO:-}" ]]; then
   "$ROOT_DIR/scripts/publish_release.sh" "$VERSION" "$ARTIFACTS_DIR/$ZIP_NAME" "$ARTIFACTS_DIR/$DMG_NAME"
+  "$ROOT_DIR/scripts/update_homebrew_tap.sh" "$VERSION" "$ARTIFACTS_DIR/$DMG_NAME"
 else
   echo "ℹ️ Skipping Gitea release publishing (GITEA_* variables not fully set)."
+  echo "ℹ️ Skipping Homebrew tap update because release publishing was skipped."
 fi
 
 echo "✅ Build complete. Artifacts:"