No. Ongoing monthly assessments are not a capital expense and would not get added to the cost basis before or after the conversion.
Capital assessments are different than regular monthly assessments.
After the conversion this would be an ordinary and necessary expense for your to maintain the property so for that reason, and because a residential rental is a business in tax language, you can deduct these expenses. For your entry, if you want to clearly identify the expense you can use 'Other or Miscellaneous' and identify it. Otherwise, you could use cleaning and maintenance.
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