I figured it out, I was having issues finding the LoginName for each group but I was able to locate using a Sent HTTP Request
Step 1: Add all AD Groups into a single SharePoint Group
Step 2: Use HTTP Request to get a listing of all users in the SharePoint Group
- Uri: _api/web/sitegroups/getbyname('SPGroupName')/users

- From the Results, I was able to get the LoginName for each Group
- My AD Group is cAPTure-Proposal_Project Controls

Step 3: Use the LoginName to add the AD Group into the SharePoint Group using the HTTP Request

If there is a simpler way to get the LoginName, please let me know