I want to connect a wired headphone to my Ipad type C plug and charge it at the same time.

Third-party USB-C to 3.5mm Adapters, that incorporate a compatible DAC and USB-C PD pass-through power, are available. You would be best advised to choose an adapter from one of the better manufacturers that explicitly state compatibility with your Apple devices.

Of those available, Satechi have good reputation - and as a brand are often marketed by Apple.

Here is a recommended adapter from Satechi’s range:

https://satechi.net/products/usb-c-pd-audio-adapter?variant=33442515583064