Home Assistant Google Cast integration interferes with casting from the Audible phone app

When attempting to cast from the Audible phone app to Google Home/Nest devices/displays, it briefly connects but then immediately disconnects. Disabling the integration in Home Assistant resolves the issue, as detailed here.

Numerous users are experiencing this problem. Audible engineers have been notified, but it’s unclear whether it’s an Audible or Home Assistant issue. All other casting-capable phone apps work flawlessly.

Is there a potential resolution? Could Home Assistant engineers collaborate with Audible engineers to address this issue? This limitation significantly affects heavy Audible users like myself who heavily rely on this functionality.