KVM switch for Apple Studio Display (USB-C / Thunderbolt)

I'm interested in buying the new 5K retina 2022 [Apple Studio Display](https://www.apple.com/studio-display/) . However, I use a personal Mac and a work Mac at the same desk. Frequently switching cables between the two Macs whenever I want to use the display would be annoying. The Studio Display does not offer input switching, and only one of the USB-C / Thunderbolt ports on the back is capable of connecting to the host computer. How can I easily switch Macs connected to the Studio Display? Is there a [KVM switch](https://en.wikipedia.org/wiki/KVM_switch) (Keyboard, Video, Mouse) switch capable of swapping between Macs connected to the Studio Display? I'm looking for something like the old VGA KVM switch below, but for USB-C, Thunderbolt, DisplayPort, or whatever else is needed for the new Apple Studio Display. The switch should ideally pass along the monitor's speakers and webcam, along with any peripherals connected to its USB-C ports. I'm unable to find any Thunderbolt 3 or 4 KVM switches. Some USB-C KVM switches do seem to exist, but I'm unsure if this new Apple Studio Display works with them properly. Some state they do not work with Apple or Thunderbolt devices. The same question was asked for the older Apple Thunderbolt Display here: > https://apple.stackexchange.com/questions/272543/how-to-switch-between-two-macs-and-one-thunderbolt-display