Does a period stain that won't wash out but isn't smelly make our prayers invalid?

Assalamualaikum, brothers and sisters. I'm really concerned about my family's prayers and wudu being valid. I got a period stain on my clothes and tried hard to clean it, but it's still there. Alhamdulillah, it doesn't have any smell. My mom told me it's fine and that our salah is still accepted. She even washed those clothes with other clothes in the washing machine and said wearing them doesn't invalidate prayer. I'm scared that my parents' prayers might not count because of this. I feel worried that we might be wearing clothes that aren't fully pure. Could someone please advise me on what I should do? Jazakallahu khairan.