Brown discharge and would have been time for period if I was pregnant!

Whitney
Today would have been the start of my period if I wasn't pregnant. Has anyone ever had Brown discharge around this time? I'm super nervous this week bc I read the most common weeks to miscarry is weeks 4, 8 and 12 bc those are the weeks you're period would have happened. Please give me advice ladies! I am 8 weeks and 3 days.