Hi,
You have a few javascript errors unrelated to this plugin. Once you fix these the form should work properly.
Uncaught SyntaxError: Unexpected token ,
recaptcha__en.js:513
Uncaught Error: Invalid site key or not loaded in api.js: 6Ld0EJQUAAAAAHK3a32ugzCs5_wOnEQNDdBrV2Ly
at Object.fC [as execute] (recaptcha__en.js:513)
at execute ((index):827)
at YM (recaptcha__en.js:508)
at V (recaptcha__en.js:500)