Is It Too Early To Tell Admin I’m Pregnant?

I am 5 weeks pregnant and I’ve just started getting extreme morning sickness.. idk how I’m going to go back to work on Monday. I thought of emailing my principal that I’m pregnant and ask to keep it between us and the office in case I need to page so I can go puke when I need to.

Family says it’s too early but I know me puking at work will be inevitable. They’ll probably put 2 and 2 together when I page the office and then come back to my classroom anyways.

Props to any of you teachers who taught pregnant, y’all make it look so easy.