Erm, no. You're absolutely correct about the embodied carbon in the car's production, but an EV consuming pure coal power[0] is less polluting than an (edit) ICE car. And most areas are far from pure coal power. According to the EPA if I bought an EV it would have 1/5th the tailpipe emissions of a gasoline car.

The "EV's are just coal power plants on wheels" is literally oil industry propaganda, FYI.

Edit: I also find the argument about production to be correct, but misguided. A sibling commenter plugged a calculator that they made for lifetime emissions and break even points. Using their assumptions about CO2 cost for the vehicles productions and my car's current mileage (30mpg) and local CO2 production (127g/kWh), the break even point for an EV is ~10,000 miles. This is a bit less than what most Americans drive per year. Given that a lot of people constantly trade up their cars anyways, you'd rather they trade-up to an EV than a ICE vehicle, on the balance.

0 - The EPA has a calculator for tailpipe emissions. Even putting a model Y right next to the largest coal powerplant in the US yielded significantly lower tailpipe emissions than gas; 130g/mi vs 410g/mi. https://www.fueleconomy.gov/feg/Find.do?year=2021&vehicleId=...