Resolve "Badges on labs cut off on smaller displays"

What does this mr do?

Fixes the chips on smaller displays by not cutting them off.

Screenshots

Before

After

Dashboard

Sessions

Admin

Does this MR meet the acceptance criteria?

• I have added a changelog entry to reflect the significant changes I made.
• I have updated the documentation accordingly.
• I adhere to the style guide. No tests were written as playwright not introduced yet.

Closes #652 (closed)