When adding a user to a team, the user will not be automatically added to the team projects. This is done for flexibility and security.
Therefore, if you were invited to a design team, and you don’t see team projects, you need to contact the team owner or one of the admins on the team, to add you to the necessary projects.
To see team projects on the web app:
Go to web app.
On the main nav click on projects.
In the top left corner click on the “Personal projects” dropdown and you’ll be able to select the team to see the projects that belong to that team.