Implement Wearable Data Layer Sync

[singhaditya21]

Implemented data syncing between the Android phone app and the Wear OS app using the Google Wearable Data Layer API.

Phone Side:

• Added com.google.android.gms:play-services-wearable:18.1.0.
• Created WearableSyncManager to handle PutDataMapRequest creation and execution.
• Hooked into WeatherViewModel to trigger sync whenever weather data is successfully fetched (either from Open-Meteo or Backend).
• Mapped weather codes to emoji icons for display on the watch.

Wear Side:

• Updated WearWeatherRepository to accept Context.
• Implemented getWeather(context) to query Wearable.getDataClient for data items at path /weather.
• Parsed DataMap into WearWeatherData DTO.
• Preserved fallback logic to use cached data or mock data if syncing fails or data is unavailable.
• Updated all call sites to provide Context.

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PR created automatically by Jules for task 17178685256178184017 started by @singhaditya21

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[singhaditya21]

Leaving this open rather than merging, for two reasons worth recording.

The Android app cannot currently be built. android/gradle/wrapper/gradle-wrapper.jar is absent from the repo — not gitignored, just never committed — so ./gradlew fails from a fresh clone. Until that is regenerated (cd android && gradle wrapper --gradle-version 8.13) there is no way to compile or test this change, and CI has no Android job either. Merging unverifiable platform code into main is not worth the risk while the backend work is landing there.

Everything else in this triage pass was either applied to main with tests or closed with a reason; these Android PRs are the one group blocked on tooling rather than on review.