Media is not synced on DO_SYNC intent if AnkiDroid was not already opened/running normally

### Checked for duplicates?

- [x] This issue is not a duplicate

### Does it also happen in the desktop version?

- [x] This bug does not occur in the latest version of Anki Desktop

### What are the steps to reproduce this bug?

I tried to implement the syncing intent in ankiconnect android: https://github.com/AuroraWright/AnkiconnectAndroid/commit/c945a9727890d5d2124c67c444e4991a3565bd84#diff-95aff13f68d81976f8f978e9e78130e08a093827b82969ab022575e4b48bb56aR145-R154

It mostly seems to work, syncing the cards always occurs (if within the 5 minutes limit). However, media syncing only occurs if AnkiDroid was already open in the background before this runs, and only once. If AnkiDroid is closed, media is never synced.

### Expected behaviour

Media should be synced at the same time as the collection

### Debug info

```text
AnkiDroid Version = 2.23.3 (9001068fd4819c6fb66cb8239e7166868ab47859)
Backend Version = 0.1.62-anki25.09.2 (25.09.2 3890e12c9e48c028c3f12aa58cb64bd9f8895e30)
Android Version = 16 (SDK 36)
ProductFlavor = play
Device Info = OnePlus | OnePlus | OP6190L1 | OPD2415 | OPD2415 | qcom
Webview User Agent = Mozilla/5.0 (Linux; Android 16; OPD2415 Build/BP4A.251205.006; wv) AppleWebKit/537.36 (KHTML, like Gecko) Version/4.0 Chrome/147.0.7727.101 Safari/537.36
ACRA UUID = ee5d8d91-bb06-4fc8-b956-f3fadcca0a3f
FSRS = 5.1.0 (Enabled: true)
Crash Reports Enabled = true
```

### (Optional) Anything else you want to share?

_No response_

### Research

- [x] I have checked the [manual](https://ankidroid.org/docs/manual.html) and the [FAQ](https://github.com/ankidroid/Anki-Android/wiki/FAQ) and could not find a solution to my issue
- [ ] (Optional) I have confirmed the issue is not resolved in the latest alpha release ([instructions](https://docs.ankidroid.org/manual.html#betaTesting))