I had a similar side project just past week... ordered cheap 4€ USB-C hub with USB-C + USB-A + HDMI from Temu (yeah, I know ;-D ), fired up Samsung Dex, plugged dock to phone's USB-C, and my PC display to HDMI and USB-A, with charger on remaining USB-C. Since my display has USB dock that gave me access to more ports, so I had keyboard, mouse, USB stick, HDMI display, charger, all connected to S25+ and working fine. For 4€ "investment"
Same would be good fit for Deck and other handhelds. You get pass-through charging and USB-A port, plus HDMI which is still more ubiquitous than USB-C screens. There are (not much more expensive) hubs with RJ45, microSD, and few more USB ports if you're more serious about it. If it's a primary setup for home usage, I'd recommend display with dedicated dock/hub (charging, USB ports, RJ45). I have one such display at work, when I arrive I just connect a single cable to my laptop (or handheld ;-D ), and everything is connected. Ethernet cable is permanently attached to display's dock, and so is the USB receiver for wireless keyboard/mouse, power, etc.
Anyway, yeah, for most people today where work = browser + few lightweight apps, such devices are great. Get hub/dock to get more ports, and you're golden!