Wireless Android Auto: Keeps pausing when bluetooth is enabled

### Description

We have numerous users reporting that after some recent updates, Pocket Casts keeps pausing every few seconds when using wireless Android Auto. The issues do not occur when they switch Bluetooth off, so it sounds like the Bluetooth connection is sending some sort of command to pause playback.

In our internal discussion at p1738325401040009/1738324786.080269-slack-C02A333D8LQ, it was mentioned that the issue is likely due to https://github.com/Automattic/pocket-casts-android/pull/3297

### Step-by-step reproduction instructions

1. Test using Pocket Casts on a car with Wireless Android Auto (unclear how to emulate)
2. Try with Bluetooth on vs off

### Screenshots or screen recording

_No response_

### Did you search for existing bug reports?

- [x] I have searched for existing bug reports.

### Device, Operating system, and Pocket Casts app version

_No response_

Start by reviewing pull request 3297 and the internal discussion referenced in the report, then reproduce playback on a car using Wireless Android Auto with Bluetooth enabled and disabled. Done means playback no longer pauses repeatedly while Bluetooth remains enabled; the report provides no named source file or test to run.

Written by the indexing model from the issue text.