[Plugin: Contact Form 7] "Add More Fields" button to front-end of form.

I’m looking to have a button users can click on the front-end of the form that will add additional sets of fields. Something similar to this site: https://starbrightpatchworx.web-design-new-york.us/index.php?route=information/information&information_id=12 (though not necessarily the entire form).

I’ve found some possible ways to do this with hand coded “from scratch” forms, but I’m unsure of how to integrate them so Contact Form 7 will send any/all added fields.

I appreciate any help.

https://www.ads-software.com/extend/plugins/contact-form-7/