Tesla Wall Connector Proposed Setup

Alright, boys and girls, I need some help. Or rather someone to tell me what I’m doing is going to blow something up before I do it. I have a 21M3 and I’ve driven it for 3 months without a home charger. I’d like to change that! I have 100 amp service and one 30A breaker that my dryer is using now. I bought a TWC before my car got here but then realized this was probably not going to work without a panel upgrade since I’d more than likely overload it if the dryer was running. Found the various smart splitters that won’t allow them both to run at the same time and thought that sounded like a plan. The proposal: 10AWG hard wired through conduit to the TWC from the non-dominant side of the smart splitter via some sort of appliance cable to a NEMA 14-30 plug Charger hard-limited to 24A (or even lower, if necessary) TWC housed in a weatherproof box mounted to the house Is there anything I’ve missed or any reason this would not work? From what I’m reading, there wouldn’t be anything inherently wrong with this if it was ran through appropriate outdoor conduit. I didn’t think that running from the splitter to another outlet mounted outside would be very smart but I suppose that could be done too? I would also like recommendations on 14-30 receptacles that would be more appropriate to handle EV charging as I have heard that the ones for dryers aren’t typically great. Hubbell is tough to find in 14-30! Thanks in advance y’all!