If you're worried that you missed an email, you can just go to Nintendo's NA site and see if it lets you order. You can only order if you've been invited. You have to sign in to check. It will say invite required if you haven't been picked.
Switch 2:
https://www.nintendo.com/us/store/products/nintendo-switch-2-system-123669/
Switch 2 with Mario Kart:
https://www.nintendo.com/us/store/products/nintendo-switch-2-mario-kart-world-bundle-121620/
Gamecube controller. You can order with a Switch 2 invite, but open to all on the 13th:
https://www.nintendo.com/us/store/products/nintendo-switch-2-nintendo-gamecube-controller-120833/
by pickledgreatness