You correctly added your first Refi costs as an Asset for your Rental Property. You would do the same for each of your two 2020 refinances.
You don't have to close out the original Asset for the first refi. You will now have three Refi Assets, each with different dates and amounts, that are depreciating along with the property itself.
TurboTax calculates the depreciation on all your Rental Assets for you, so don't add Depreciation as an Asset. The Assets are Refi1, Refi2, Refi3 (for example).
These won't be closed out until you Sell the Property, or Convert it to Personal Use.
Remember to only report 50% of the Refi costs under your Rental, since you live in the other half of the duplex.
Click this link for more info Refinancing Rental Property.
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