I’m afraid I don’t have much experience with Elementor, preferring to stick with core Gutenberg as my page builder. You should be able to include the upcoming event listing as a shortcode or block in an Elementor page, I think, but I don’t know how Elementor handles individual custom post type posts. Possibly, it’s overriding the default behavior I rely on, which is based on using a filter called the_content to add the dates up top and the RSVP form at the bottom. Maybe that gives you something to go on if you reach out to Elementor for support.
Elementor is ok with shortcodes, but I guess there isn’t a short code that generates the functional part of the event like the form, dates, details…..
My reasoning for Elementor is simply to be able to custom the event page design. If I can use a shortcode to generate the form, and guest functionality, that would probably solve my problem.
There are Gutenberg blocks for displaying specific events, or the next event. Search on RSVPMaker.
If it’s easier for you to use a shortcode, those are documented here
https://rsvpmaker.com/knowledge-base/shortcodes/