my usb-c cable is broken out of the box

bring it into an Apple Store? Return the phone?

Or you could just replace the usb c cable as I suspect that would be easiest.

Anker makes decent cables, look for on Amazon..

Or find a wireless/magsafe charger

Hello

If your iPhone or iPod touch won't charge – Apple Support (AU)

I would recommend all bringing it into the Apple store and they should replace it as it is considered faulty.