The ability to add reports that are visible to everyone depends on the application the report is coming from (ticketing for tickets, assets for assets, projects for tasks, etc.) and whether or not you have the permission to add global
reports for that application on your security role. There is a permission to add global reports for each application that has a report source.
Please double-check your security role permissions to see that you have the permission to add global reports for the report source you are using.