Check for updates opens the app

**Device model, version and app version**

Model Name:
macOS Version: 26.5.1 (25F80)
App Version: 2026.7.1 (2026.2346)
Safari Version:

**Home Assistant Core Version**

**Describe the bug**
Click "check for updates" just opens the app

**To Reproduce**
Click "check for updates" with the app installed via the app store

**Expected behavior**
Open the app store to allow the user to update (or do this automaitcally if possible)

**Screenshots**

**Additional context**

Start by tracing the implementation of the “Check for updates” action in the macOS app and how it handles App Store installations. Reproduce the behavior with the App Store build, then verify that the action opens the App Store or performs an update rather than reopening the app.

Written by the indexing model from the issue text.