Immersion of utensils in a mikveh connected to flowing water

Hello, Honorable Rabbi, What is the ruling regarding a mikveh when a filter is operating there that cleans the water by having the mikveh water from the immersion pit pumped, filtered, and cleaned, and then returned to the immersion pit of the mikveh by passing through a seeding pit, thus avoiding the issue of drawn water. In this mikveh, there is also another special pit designated for the immersion of utensils, and the water in this utensil immersion pit is purified through the same connecting pit, on the other side (meaning there are two holes in this connecting pit) of the mentioned mikveh, and I wondered whether there is a prohibition to immerse utensils when the filter is operating, because it could be said that the water of the utensil mikveh is purified by the same connecting pit of the immersion mikveh, and at this time when the filter is operating, there is an issue of flowing water, because if there is movement in the seeding pit, there is also movement in the immersion pit, and if there is movement in the immersion pit, there is also movement in the connecting pit, and if there is movement in the connecting pit, there is also movement in the utensil immersion pit, which is connected to the connecting pit on the other side? Perhaps it is permissible if we say that the flowing water from the seeding pit that spills into the immersion pit does not affect the movement to the extent that the water in the utensil immersion pit would be considered flowing water, only because they are connected through the connecting pit that serves both? I hope I was understood. With blessings and thanks

Hello, 

If the flow is not noticeable in the mikveh where the immersion takes place, there is no deficiency.

Shulchan Aruch, Yoreh De'ah, Siman 201, סעיף 61