Within Teamwork, you can change the category associated with a project.
When viewing a project, you can manage the project category via the project options menu. Hover beside the project name to reveal the options button. Click the three dots and select the Settings option within the Jump To section.
Alternatively, select the Settings tab in the project's navigation menu.
In the settings area, go to the General Settings subsection where you will see a Category option. Hover over the category section and click the edit pencil.
You can choose an existing category from the dropdown, or click Manage Categories to create a new one.
Other ways to change a project's category
You can also change the project category from the site-level Projects area by dragging projects into a category listed in the panel on the left.
Alternatively, go to the project's Overview tab and hover over the category in the details pane on the left.
For more information, see: Working with Project Categories