DNS Rescue: Microsoft Email Priority

My first concern is to keep the new Microsoft 365 mailboxes—purchased through GoDaddy—working without interruption. Right now the moment we pointed our name-servers to GoDaddy, both the old website and our ten Google Workspace addresses went dark, so we clearly have a DNS conflict... (Budget: ₹600 - ₹1500 INR, Jobs: Cloudflare, DNS, Linux, Microsoft 365, Web Hosting, Windows Server)