Apple Cinema Display to M2 Macbook Air

Hello

I have an old Apple Cinema Display 27", Model A1316, that has three outputs that linked to my old Macbook Pro as in the attached picture; a power output (power runs through the display to the laptop), a USB A and an old Thunderbolt / Display port. My Macbook pro is now too old to update, and I've switched to an M2 Macbook Air. However I'm having trouble connecting it to the display.

M local Apple store told me I needed to use a Thunderbolt 3 (USB-C) to Thunderbolt 2 adaptor (Model A1790), which I duly purchased, see picture. Connecting the display port to the USB-C port with this adaptor on the M2 Air leaves the Cinema display black. The display still works fine when connected to the older macbook pro with the original connections however. I don't intend to use the power output, which isn't compatible; I can power the M2 Air by itself.

Would anyone be able to advise if there is another type of adapter that I need to use to link the M2 Air to the Apple Cinema Display A1316 to allow the display to work?

The Apple store staff weren't sure about the USB-A connectio, possibly only to allow the USB-A ports on the back of the display to function, though not sure if it serves any other purpose?