Mac mini M1 led cinema display

The M1 Mac Mini only supports one display from the Thunderbolt/USB-C ports and one display from the HDMI port.

see > https://support.apple.com/guide/mac-mini/connect-a-display-apd8e4fbbb97/mac

I bought this connector cable and my 27" LED Cinema Display works as if it was designed yesterday with mij Mac mini m1

You do need a USB C naar Mini DisplayPort adapter. It is not cheap but you can use your LED Cinema Display!

You can connect your TV via HDMI

https://www.allekabels.nl/usb-c-kabel/11518/2298286/usb-c-naar-mini-displayport-adapter.html

No sorry, plus it is also mentioned in Video Support of the M1 Mac Mini spec’s.

see > https://www.apple.com/mac-mini/specs/

Make sure the TV is connected via the HDMI port, and the Cinema Display is connected by 1 of the 2 thunderbolt ports.