Add Multiple Rows to form i.e. "ADD ROW"

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I have a form that has a section that should be able to allow the user to add multiple new lines to the form. The process we are looking for is:

Generic Form info (various fields)
User Fields (This should have a ADD MORE / ADD ROW option)
 - Name
 - Surname
 - Contact Number

Ideally, we want the user to just add another row to the form for as many "Users" as they need to add.

Any suggestions on how to get this done?