Stop USB-C plug from holding/clipping
That's the way the USB-C connector is designed, and frankly, that's a good thing: there's actually quite a bit of current passing through pretty small contacts when charging a modern phone, so you really want to ensure contact is reliable.

So, your intent to remove the clipping is in opposition to using the connector as charging connector.

So, the much more boring mechanical solution is: Gluing, screwing, or otherwise affixing your cradle to something heavy enough for you to pull out your phone with one hand.