Taxes in Cleveland/Cuyahoga County

[Nicholas Heim]

Currently looking to purchase another house hack. An example for a duplex I was looking at in Cleveland Heights recently:

List price: $330,000

Assessed value: $157,000

If the assessed value was to automatically become the purchase price after sale, the tax bill would double making the deal not work.

Does anyone know if the county does this automatically upon purchase, during every 3 year assessment cycle, or something different (ie: raises the assessed value, but somewhere in between current assessed value and purchase price)?