New Website Not Displaying

My account was part of the Google migration. I purchased a business plan, built a new website on Square https://arugula-hexagon-lrwp.squarespace.com/config/ added my existing domain I own then published and my old website from Google still shows. 

Is there a timeframe when the new website goes live on the web or did I do something wrong?

When I look up the DNS records for your domain, I don't see any of the records that point your domain to Squarespace. Make sure that you've added Squarespace's default records in your domain's DNS settings: Add Squarespace defaults