My work week starts on Tuesday and I wanted to make google calendar meet my work rythm. Do you know how to change calendar first day to specific day of week ?
Unfortunately, as you've already discovered, Google Calendar only offers Saturday, Sunday, and Monday as days to start the week.
I can't imagine that a client-side script could fix this. Your only option then would be to use a third-party calendar that does offer this feature and syncs with your Google Calendar.
If you want to let Google know that this is a feature you'd really like to have, use the "Send Feedback" tool in the gear menu.