Logic has a built-in email capability however it is highly restrictive of who you can send those emails TO. Presently, you can only send emails to collaborators- who you may think of as the people you've invited as Editors on your hosted site.
Alternatives
You should be able to use an external mailing service to do this- I like Mailjet and it should integrate well with Logic.
- No limits on the TO, CC or BCC addresses
- Ability to control the FROM address
- Ability to style the emails beautifully
Why this limitation exists
Importantly, this is 70% theory and 30% facts I've gleaned from forum discussions and my own use of Webflow.
But it might scratch that itch if you want to understand WHY Webflow is being so restrictive with the TO addresses.
In September 2022, Webflow's email form notifications shut down suddenly for nearly 3 weeks. While they didn't give much specific detail, I understood they were having some issues with SPAM complaints where a SPAM message would come through a web form, get forwarded to the site owner, and then they'd mark it as SPAM.
That SPAM-flag didn't punish the spammer- it punished Webflow's email rep since that's where the email originated from, and it punished their transactional email service provider- who I believe is Mailjet.
Due to these SPAM-reporting issues, and the scale they Webflow was sending emails at, Mailjet required stricter controls like an unsubscribe link, which suddenly appeared on every form notification email ( with other disastrous effects ).
Here's how that affects Logic.
Where Logic is concerned, Webflow really doesn't have the option to open up the TO field blindly. Those emails would get spam complaints, and there isn't even a clear way on how you'd support an unsubscribe link without a stored sending list ( like form notifications has ).
My guess is, a few devs would probably abuse such a feature as well, and try to turn WF into a newsletter service.
The best way to look at it is to simply accept that Logic's in-built email block is for internal team notifications only, and to use a 3rd party solution for anything else.
References
https://webflow.circle.so/c/logic-beta/manual-form-notification-email-addresses
https://webflow.circle.so/c/logic-beta/how-to-forward-form-input-to-anything-else
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