Virtual Run - Diverted Pairing (Garmin Connect vs Zwift app)

I'm trying to do a Virtual Run activity on my Forerunner 265 and want to connect to the Zwift app on my Android phone. Garmin Connect is also installed on the phone.

When I select the Virtual Run activity on my watch, it shows that it is connected to my phone but remains in "Ready to Pair" mode. I think the watch is connecting to the Garmin Connect app and not the Zwift app. How can I force the watch to connect to Zwift instead? I've tried using the "force stop" function in Android to close Garmin Connect, but it instantly restarts the app. 

For reference, I've tested this using my tablet and it works fine - so I'm fairly sure the problem is related to my phone having both Garmin Connect and Zwift installed. It seems that Garmin Connect has priority and Zwift cannot make the Bluetooth connection.