Fenix 6x HR monitor and Zwift problem

Hi

I am using Zwift on a Windows PC. The Schwinn IC8 bike is connected using an Android phone with the Zwift Companion app.
I then try to use the heart rate monitor on the Fenix 6X. I start a virtual run, but it doesn't work because the pairing in Zwift doesn't see the Fenix.

I have to disconnect the Fenix from the phone.
Then it's OK - Zwift sees the Fenix, I can pair it with Zwift.
I then have to reconnect the Fenix to my phone by entering the PIN again.

This is very annoying as I have to do this every time I train.

Is there any way for the Zwift to see the heart rate monitor without constantly un-paring and re-pairing Fenix with my phone?