If it is a rental property, the closing costs listed on your HUD-1--loan fees, title fees, and recording fees, etc. are capital expenses. You may amortize them over the life of the mortgage.
If you are not asked about Refinancing (which prompts TurboTax to add an asset), you can add the refinance costs yourself in the Asset/Depreciation section (for your ownership %).
Click this link for instructions on How to Enter Refi Costs as Asset.
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