Embed options that open form in a drawer on screen

We're looking for a Typeform alternative, and I'm trying to replicate this functionality that we love, but I'm a bit lost as to how to accomplish it.

Typeform provides this cool drawer for form embeds that also works great on mobile. Here's an example:

https://go.umhb.edu/academics/honors/incoming-freshmen (click the apply button)

Here's their documentation: https://www.typeform.com/help/embed-a-typeform/

The thing that I like about it is that I don't have to use inline JavaScript to accomplish this. It's a link with a class, and the site-wide JavaScript file adds the appropriate elements to the page.

Do you have a method for accomplishing something similar. I saw all of the embed types on your site, and they all seem to require inline scripting. Also, the lightbox feels dated.

Our pop-up form embed would be as close as we have, but it does require inline scripting:

https://www.jotform.com/help/447-How-to-Open-Your-Form-in-a-Popup-Window

I looked for an alternative to mimic that functionality but that is currently as close as we offer.