As far as I know, a PWA (Phone Web) setup does not automatically switch to a full offline mode when connectivity is lost.
PWAs in Mendix can cache some static resources (like pages and assets), so the app might still open, but data-related actions (microflows, database calls, integrations) usually still require a connection. So in many cases, the app may not function as expected when offline.
For full offline support (working with data, syncing later, etc.), Mendix typically relies on the native mobile offline-first approach rather than PWA.
So it might work partially offline depending on caching, but it is not the same as a true offline-capable app.
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