Property tax deduction question concerning taxes paid at closing

Easy question, I hope. Sold a condo early last year after 2019 property taxes were paid from escrow paid New York. Then bought a house in August before school taxes were due. Held/hold an escrow in two different banks due resch of the two properties, and thus received two 1098s with "Property taxes paid" amounts on both.

I've researched and can't find anything that indicates I need to account for the adjustments made to both me as the seller and me as the buyer for prorated taxes at closing.

So do I simply not touch the imported amounts for the property taxes for schedule A as listed on the 1098s , or do I need to override the amount based on the the tax credits paid and received at the closing as part of the settlement?

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