Keynote presenter display doesn't show on Samsung TV
I have an M1 Mac Air updated to current MacOS. At home I have it connected to an external monitor. When I play a Keynote presentation with this setup the presentation shows on the external monitor and the presenter display shows on the laptop monitor.
I am going to use this presentation in a classroom with a Samsung TV. I connect to the TV's HDMI port via an HDMI cable that is connected to my laptop with an Apple USB C to HDMI adapter.
When I connect the laptop it is mirrored on the TV. When I play the presentation the fullscreen presentation is mirrored on the laptop and TV, I don't see the presenter display on the laptop. I have enabled presenter display in Keynote settings, I have also tried both HDMI ports on the TV. It would be very helpful to have the presenter display visible on the laptop but I don't know why it works with one external monitor and not the other one and I don't know what else to do to get it visible.
MacBook Air 13″, macOS 13.4