Neither. In order to claim a home office deduction, you would need to use your actual home to take the home office deduction.
If you are paying yourself rent you would have to claim it as income, so you would get a deduction for it, but you would pay taxes on it the same as if you didn't get a deduction for it.
Since this is a rental property, you are likely already claiming expenses for it. If you took expenses a second time you would be "double dipping" which is not allowed.
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