Exporting a Teamwork Cloud project to a template directly is not possible. Please save the project locally before exporting it.
You can save (or export) the created project as a template and then use the same project for creating new projects.
This functionality is available in Standard, Professional, Architect, and Enterprise editions.
To export a project as a template
Open the project you want to export as a template.
From the File menu, select ExportTo > Template. The Export Template dialog opens.
Type the name and the description of the template.
Click OK. The project is exported as a template.
According to the template name in the Export Template dialog, the .mdzip file will be created in <modeling tool installation folder>\templates. For example, type the name LibraryTemplate to save file as LibraryTemplate.mdzip.