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Take this with a grain of salt, but when I was at the Washington Square store last weekend, they were hoping to get a Model 3 in the store by July. We got to see our first M3 at the supercharger downstairs.
You don't need an invite. Just call the store on Macadam to schedule a test drive. They have 2 cars for test drives and one in the showroom to sit in. I drove a RWD today (that's all they have for now). P arriving next month.