Sleeping affecting supply?

Au
My 9 week old has started sleeping through the night most nights. She goes to bed between 8-9pm and will sleep until I get her up at 5am to eat! If I didn't get her up then she would continue to sleep. She's still pretty much asleep when I do this and only nurses from one side. I then put her back to bed and pump the other side. I'm ebf and I'm worried about what will happen to my milk supply with these long stretches in between feedings..
Should I be getting up earlier in the night/morning to pump? What do other moms do in this situation?
I plan to breastfeed her for at least 6 months, and really hoping to get to a year; so I don't want my supply to drop!

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