An Azure relational database service.
Most of the times is a DNS resolution issue. Download and run this PowerShell script from GiHub, it will provide a diagnostic after some tests it performs.
In addition to the tool, If you are trying to connect from a company network, make sure TCP port 1433 is not blocked. You can also try to connect outside the corporate network using a WIFI intended for guests. Make sure Windows Firewall or other security software do not have port 1433 blocked also. Add your client IP address on the list of trusted IP addresses on Azure SQL firewall.
Finally, examine Resource Health on the Azure Portal because the error may be related to an incident or in-progress planned maintenance.