Health and Status roll up from task to child to parent

My roll-up formula in my parent row is working perfectly and captures the information from its primary children rows.

=IF(COUNTIFS(CHILDREN(), "Red") > 0, "Red", IF(COUNTIFS(CHILDREN(), "Yellow") > 0, "Yellow", IF(COUNTIFS(CHILDREN(), "Green") = COUNT(CHILDREN()), "Green", IF(COUNTIFS(CHILDREN(), "Blue") = COUNT(CHILDREN()), "Blue", "Green"))))

As others have asked, it doesn't pick up changes in secondary children rows and ideally, I don't want to manually copy/paste the parent formula to each primary child. Is there a way to have a parent row reflect changes to secondary, or even tertiary, children?

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