[Split Browser] ANR: Input Dispatching Timed Out in CardBrowser

### 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?

Have Tablet/Chromebook

1. Enable split mode in CardBrower from Settings -> Developer Options
2. Go to Cardbrowser

### Expected behaviour

It should remain responsive without blocking UI thread

### Debug info

```text
AnkiDroid Version = 2.23.0alpha6-debug (3a795622d52f5b9a5b301a82fa04b2faac495ff9)
Backend Version = 0.1.62-anki25.09.2 (25.09.2 3890e12c9e48c028c3f12aa58cb64bd9f8895e30)
Android Version = 13 (SDK 33)
ProductFlavor = play
Device Info = Google | google | octopus_cheets | octopus | octopus | bertha
Webview User Agent = Mozilla/5.0 (Linux; Android 13; octopus Build/R141-16404.4.0; wv) AppleWebKit/537.36 (KHTML, like Gecko) Version/4.0 Chrome/139.0.7258.158 Safari/537.36
ACRA UUID = 1eac5f23-2ced-436d-af43-08c2d544c6b8
FSRS = 5.1.0 (Enabled: false)
Crash Reports Enabled = false
```

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

```
ANR in com.ichi2.anki.debug
(com.ichi2.anki.debug/com.ichi2.anki.CardBrowser)

PID: 8347

Reason: Input dispatching timed out
(34982ed com.ichi2.anki.debug/com.ichi2.anki.CardBrowser (server)
is not responding. Waited 8003ms for MotionEvent)

Parent: com.ichi2.anki.debug/com.ichi2.anki.CardBrowser

ErrorId: c0779d52-e02f-47dd-a1b0-cf3ff0eb49c6

Frozen: false

Load averages:
1 min = 1.38
5 min = 0.89
15 min = 0.90

----- Output from /proc/pressure/memory -----
some avg10=0.00 avg60=0.00 avg300=0.01 total=7324098
full avg10=0.00 avg60=0.00 avg300=0.00 total=3711566
----- End output from /proc/pressure/memory -----

```

### 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
- [x] (Optional) I have confirmed the issue is not resolved in the latest alpha release ([instructions](https://docs.ankidroid.org/manual.html#betaTesting))