No, your constructed asset is not an intangible asset, so you will need to delete that asset and enter your asset correctly.
Edit your self-employed business, and use the TurboTax Home and Business interview questions in the Business Assets section to enter your constructed asset. One of the questions is "Did you make improvement to a building you used for this business in 2019". Assuming this fits your situation, follow the prompts to enter your construction expenditures. If not, when you answer "No", on the next screen choose "Real Estate Property" and enter the date the construction was "placed in service", i.e., when it was finished and started to be used. TurboTax will guide you the rest of the way.
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