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Hi from Just Answer. I'm PDtax, and can assist.
There should be no tax due of any kind.
Upon your father's passing, his assets receive a step up in basis to fair market value at his date of death. This is typically used to value assets sold upon passing, creating a sale of asset for its (stepped up( basis, and $0 capital gain to the estate or to decedents.
This is the general rule. If the asset appreciated or depreciated between estate valuation and sale, that change would be taxable gain (or loss).
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