[compass_app] UI state never updates for the HomeScreen (regression after the implementation of #2788)

Serious bug, application doesn't work the inteded way.

(Flutter 3.44.8; platform: Windows; tested on commit 978919b)

Steps to reproduce:
1) Book a new trip;
2) Come back to a home screen;
3) You can't see new trip, unless you hot reload.

Before moving initialization of HomeViewModel into HomeScreenContainer, it relied on rebuild that go_router did:
1) User moves to the home route '/' or deeper;
2) All previous routes including the one where user moved are getting rebuilt, which results in creating new instances of viewModels, which results in them calling _load and fetching latest data from repository.

Now it seems that HomeViewModel is just initialized once in HomeScreenContainer and never updates.

---

Generally according to [this statement](https://github.com/flutter/samples/issues/2604#issuecomment-3164086227), the current way go_router "manages" ui states, is wrong, which already was unfolded in [issue#2574](https://github.com/flutter/samples/issues/2574), but outside of users sharing their ways on how to avoid this behavior, it never really recieved much attention.

So maybe a solution to this bug will also lead to a solution for issue#2574?

I myself temporarly solved issue#2574 in a way where viewModel only updates when user moves directly to a route it was going to. Hopefully this helps:
```
class RouteLifecycleListener extends StatefulWidget {
const RouteLifecycleListener({
required this.onResume,
required this.child,
super.key,
});
final VoidCallback onResume;
final Widget child;

@override
State createState() => _RouteLifecycleListenerState();
}

class _RouteLifecycleListenerState extends State
with RouteAware {
@override
void didChangeDependencies() {
super.didChangeDependencies();
routeObserver.subscribe(this, ModalRoute.of(context)! as PageRoute);
}

@override
void didPopNext() {
widget.onResume();
}

@override
void dispose() {
routeObserver.unsubscribe(this);
super.dispose();
}

@override
Widget build(BuildContext context) {
return widget.child;
}
}
```

```
...
GoRoute(
path: '/home',
name: AppRoute.home.name,
builder: (context, state) => Provider(
create: (context) {
return HomeViewModel(
...
);
},
builder: (context, _) {
return RouteLifecycleListener(
onResume: () => context.read().load.execute(),
child: HomeScreen(viewModel: context.read()),
);
},
),
routes: [ ...
```

Start by tracing HomeViewModel initialization in HomeScreenContainer and the HomeScreen route behavior through go_router, comparing it with the rebuild behavior before #2788. Reproduce the Windows flow by booking a trip and returning home; done means the new trip appears without hot reload and the relevant state update is covered or verified.

Written by the indexing model from the issue text.