Do not improvise a shared dryer-outlet hookup. A dryer receptacle is already sized for the dryer. If you unplug the dryer and plug in a charger, you still have a location, cord, and listing problem, and you have disabled the dryer. If you try to run both, you can overload the circuit. Some listed devices are designed to share a circuit or to interlock two loads; those are a different thing from an adapter picked up to avoid a permit.
This is one of the most common DIY impulses on EV forums, and it is the cousin of the unsafe generator “dryer-outlet backfeed” idea. The cleaner answers are: a dedicated EV branch circuit after a load calculation; a listed load-management or sharing device your electrician and AHJ accept; or a service upgrade if the panel cannot support a new circuit.
This page does not provide a wiring workaround. If you want the capacity question answered properly, use the panel calculator and the EV-plus-dryer pages, then hire an electrician.
This is not a permit calculation, a utility approval, or a substitute for a licensed electrician, HVAC contractor, or the authority having jurisdiction. Panel Headroom is an independent educational site. It is not a utility, a certification body, or a contractor. Electrical and generator work that is done incorrectly can cause fire, shock, or carbon monoxide poisoning. Use the adopted electrical code and manufacturer instructions; pull permits where required.