I apologize for the late reply and appreciate all the help that surrounds this community with troubleshooting. You all are the true MVPs.
As mentioned in another post, the form is rendering via javascript. The captcha renders on page loads, but not via vue routing due to the nuaces of how it works.
The fix for this is rendering the form with javascript and in my case I used the nuxt/recaptcha-module for ease of use.
Edit:
I decided to remove this method and use anchor tags <a href="/contact/">contant</a> to navigate to the form page due to unforeseen circumstances. This has seemed to work the most effectively with minimal hiccups and setup. I still receive this error message though:
DOMException: Node.appendChild: Cannot add children to a Text
This doesn’t seem to effect the webpage or form submission.