No Sound when I connect monitor to RAZER RIPSAW HD

I've been having audio issues ever since I got the capture. On the PS5 I have to connect the 3.5mm cable from the controller to the capture card. But I read online that better cables fix that issue for some reason... So the support I'm looking for here is for my Nintendo Switch.

When I plug my switch to HDMI In and the capture card to the PC I can play the game through OBS and the sound works as intended, but as soon as I plug my monitor to the HDMI Out in order to be able to play it on my second monitor, without the stream overlays, the sound cuts of and I can't fix that in any way other than unplugging the monitor and play through OBS.

Each time I change cables, I remove and set up the capture card in OBS again since I've noticed that I needed to do that to get the sound back on after plugging the monitor. (Probably closing and opening works too, or just do a settings change. Just wanted to be safe)