Integrating Booking Application Inside a Webflow Form: Seeking a Single Submit Solution

I’m seeking to embed a third-party booking application (hopefully within a Webflow form, aiming to have both, the booking and other form data, submitted with a single click. This is to streamline our user experience, by allowing users to fill out their information and schedule a call at the same time, and not having to split in two. We’re unsure if it’s possible due to embedding limitations and potential redundancy in form fields, like double emails, names, and success messages. Any advice on how to implement a single submit button for both the Webflow form and the embedded booking application? Thank you!