Batman agrees, but he'll still throw down with Supers if needed. Homelander would coward in front of Superman.
But, Batman wins with prep time. He has multiple times.
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How does half a human being come back to win a 2nd fight after planning?
He’d be cut in half, literally.
You Batman maxis are regarded. 
Seeing as Batman has survived every single impromptu encounter vs Superman for the last 8 decades, he'll be ready for the 2nd fight.
He took down the whole Justice League with no prep in Snyder's Endgame.
But the Dark Knight says it best. When it comes to Superman vs Batman, no one wins.
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