Congrats sa first baby, mama! Brown discharge at 37 weeks is usually just the mucus plug or spotting from cervical checks, which is a good sign na your body is preparing, pero honestly walang exact timeline, some moms deliver in days, some in weeks pa, kaya better to confirm with your OB kung normal lang yan and if there's anything else to watch for. A few of us mum friends had brown discharge for weeks bago mag-labor, so it's really hard to predict talaga, pero the fact na 1cm na open ka is promising! Just stay alert sa regular contractions, water breaking, or any unusual bleeding, and enjoy this last stretch kasi sobrang bilis ng time once baby arrives, one of my friends swears she still can't believe how fast it went, haha. Rooting for you, mama!