Leave the poo there, and just mow. You won’t be able to tell it was ever there.
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That’s the only way poop disappears in my yard (rain helps too). I never pick up poop. I mow over dog, horse, donkey, cow, and chicken poop. If I had to pick up poop daily, I would never have time for anything else.
However, I live on several acres, so I guess it would be different in a small yard.
ya get lots of flys that way...