Questions about the Asus ROG XREAL R1 AR Glasses and Nintendo switch

I want to get the Asus ROG XREAL R1 AR glasses and use them with my Nintendo switch 1 on long airplane trip overseas but the Nintendo switch only has 1 usb c port on it that's used for both audio/video and charging or with its dock. My questions are can included adapter that comes with the glasses charge keep the switch charged while I use the glasses with the switch? Or do I have to use the switch's dock and the switch's power adapter and a hdmi cable with the included base/adapter that comes with the glasses? Or should I just get a used ROG Ally to use with the glasses?