In my experience, the filter should go off. Never have I had a success with the liter running. The pair will most likely eat the eggs, especially since you've been around the tank taking pictures. It might not be all pairs, but mine are very finicky around eggs. Plus if you leave some tank water in the filter the BB will be fine in my experience. You have to keep up on water changes though! If you can't do that try your luck with running the filter.
In the future, when you see them cleaning a spawning site, turn off the filter and start daily water changes. Sometimes the male has trouble properly fertilizing the eggs if there's too much water movement.
Also, for you to have a better understanding, here's a step by step process on parent raising. (assuming you know the general timeline on first feedings and desperation)
1.) Turn off filter wen pair is cleaning.
*Begin daily water changes here
*Stop feeding the pair. Both of these lead to no nitrates being produced and as long as you have clean water in the changes this allows for great parameters for fry.
2.) Leave pair alone as much as possible. I do water changes and otherwise leave them alone until I notice free swimmers.
3.) Once fry are free swimming, begin feeding and turn on the filter.
*Be sure to cover the intake with a sponge!
*Siphon out any uneaten food after feedings and keep water change schedule in addition.
4.) Separate into 20 gallon rearing tanks. This should be enough provided parameters are acceptable.
Good luck!
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