Phone Keeps Restarting When I Connect to My Car’s Bluetooth After Latest Android 13 Update

I recently updated my Pixel 5 to Android 13, and ever since then, my phone restarts unexpectedly every time I connect it to my car’s Bluetooth. This only happens when I start the car and the phone pairs automatically; if I connect manually later, it's usually fine. I’ve already tried clearing the Bluetooth cache, unpairing and repairing the device, and even rebooting the phone, but the problem persists. I want to use hands-free calling and music without worrying about the phone rebooting mid-drive. Has anyone else experienced random restarts linked to car Bluetooth after the Android 13 update? Are there any known fixes or workarounds to prevent these sudden restarts? Also, is there a way to roll back just the Bluetooth module or driver without downgrading the whole OS? Any tips would be appreciated!