Pro Mobile Dock firmware update

Is there seriously no way to update the pro mobile dock without a USB C that supports DP alt? This is so frustrating. How can an actual display (glasses) be updatable through a standard USB C connection but the dock can’t? Now I have to order some weird combination of adapters just to update my dock and hope that it works? Really?

Frustration aside, does anybody have said magic combination of adapters I can use? All I have is a laptop with HDMI and standard USB C, as well as a desktop with an NVIDIA graphics card and the motherboard has one standard USB C.