I've recently purchased an Amazon Fire TV Stick 4K and connected it to my XF8096 TV.

I'm having a small problem with the Bravia Sync. When I press the Home button on the Fire Stick, my understanding is that it is supposed to switch input to the HDMI port that the Fire Stick is plugged into (HDMI4) but that doesn't happen. I have to manually select HDMI4 from the TV remote control.

I've gone into the Bravia Sync settings, but the Fire Stick isn't listed, and come to think of it neither was the Xbox One that was plugged into HDMI4 before the Fire Stick.

Any ideas as to what the issue might be?

Many thanks.