Your math is correct except you cannot add all closing costs to your basis (or deduct them).
See https://www.irs.gov/publications/p523#en_US_2022_publink100010751
Further, painting, without more, would not be considered an improvement the cost of which you could add to your basis.
See https://www.irs.gov/publications/p523#en_US_2022_publink100010755
