In order to be able to tell the tasks that have the same name, but belong to different projects (lists, spaces, whatever), it's wise to have additional information in the name.
For example instead of having a bunch of tasks in the workspace called "website", you would call them "customer name website".
Using a list template you can easily create a bunch of tasks but then you need to rename each one manually, which is very time-consuming.
You should be able to select all tasks, hit "rename" in the bulk action toolbar, and then choose the option to add a text before or after the existing name.