Sometimes you work on a few projects within the same company. When you use search it is inconvenient that it searches only among emails and templates within the current workspace. Especially if you change frequently between the projects. You are starting to search, do not find your email and have to switch the project and search again.
A good example of how to improve that is Figma: You might have multiple teams but when you search for something it shows you any files, no matter what is your currently selected team.
So I suggest to make it like this: No matter what project is open on my side I can still find emails or templates in other projects if I have access to these templates.