goDaddy Poor web design. No refund Scottsdale Arizona Internet

I spent over $1800 for a custom designed ecommerce website from goDaddy.  After 2 months worth of going back and forth to try and get them to create BASIC things for example: what text or pictures should be in the front page. Because of the  poor quality of service and design, I requested a refund.  They say I am not eligible for a refund.

This is their return policy:

Professional Web Design Services

Web Services: 30% cancelation fee when in progress, non-refundable once complete

This project was NOT completed. I did NOT sign off on it or give my verbal agreement. I even offered to pay the cancellation fee, but they wouldn’t accept my offer.

According to their contract, which I did NOT sign, this is the definition of "Complete"

Completion of Service. Publication of your Design is acknowledgement of your satisfaction with the Services provided to date and releases us from any obligation for further revisions or alterations at that time or until the next Update Minutes are initiated. You also acknowledge and agree that once your Design is published, you will not be entitled to any credits or refunds for any reason including, but not limited to, dissatisfaction with your Design.

They are claiming that when they posted the new website in a non searchable sub-domain for me to review for changes,  that that is what they call "Publication of your Design" and once that occurred, I was not eligible for a refund.

I have the emails from our correspondence.