Make the menu bar icon visible on a full menu bar

New status items land leftmost, which on a notched Mac lands under the
notch and is invisible, so the app appeared broken. Replace MenuBarExtra
with a managed status item that carries an autosave name and a persisted
preferred position, and add a diagnostic dump to verify placement.

💘 Generated with Crush

Assisted-by: Crush:deepseek-v4.1-flash

build-app.sh

@@ -2,7 +2,7 @@
 set -euo pipefail
 cd "$(dirname "$0")"
 
-VERSION="${1:-0.2.1}"
+VERSION="${1:-0.2.2}"
 
 swift build -c release