I'm also no receiving my filing code to my email. Funnily enough, when I signed into the app to try it out there it emailed me a code to sign in right away.
This is definitely on TurboTax/Intuit's end. Not my email.
EDIT: Looks like TurboTax gets hung up on that code verification screen if you're using Google Chrome. Switching to the latest version of Microsoft Edge did it for me.
