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Is it better to add a 14-50 outlet or hardwire an electric charger in garage?

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If you install a Wall Unit you do not need a GFI, from the manual: “do not install a GFCI circuit breaker.”

So that savings makes up a good part of the cost of a Wall Unit cost. And I think there is still a federal tax credit available. If you go this route consider running a 60A circuit to get the maximum charging capacity (48A).
 
Man, am I glad I learned to use a screwdriver when I was in High School! I put a 14-50 outlet in the wall of my garage, ran my own wire (you can get all necessary information on sizes, etc. on line) and connected it to a 50 amp breaker. As my breaker was full, it was simple to buy two half-size breakers and make room for the new one. Sure, I'm happy to support a local electrician, but not when I can check with the city myself, get a permit, and do the work.
How much did the permit cost you for your city?