Since the renovation project is considered to be placed in service when it was completed, include the entire cost of the project when you are entering the Asset for depreciation starting in December 2022.
You must have had some sort of payment arrangement in place to make two payments, and you did make the payments. Plus, it would not make sense to add another Asset in the 2023 return for the second half of the cost since the project had been completed in 2022. If any portion of the project was not complete until 2023, then you should enter the Asset on your 2023 return, claiming the entire cost and placing it in service during 2023.
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