This cable will not work. But a USB-C PD (power delivery) to barrel jack adapter should work. The barrel jack plug should be sized with 2.1mm (inner) x 5.5mm (outer) diameters, with positive inner contact.
Something like this should work but i have not tried it yet: https://www.amazon.de/-/en/Cablecc-Emulator-Trigger-Charging-Laptop/dp/B07PBG4GY6