The recommended approach for displaying your schedule in room for all to see on a television or large monitor would be to use our Google Calendar Export and then you can display that on your tv. This prevents the login from getting timed out and also prevents any changes being made by anyone in the account and limits that view to only Published weeks.
You might consider creating a new Google email account for this purpose and then any manager on the account can export on their Settings>Info page while logged into that Google account.
Then you can log into that Google calendar on your tv browser and have the schedule display that way.
display our calendar on a tv display Show third parties, monitor time off logged out sign in again