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It would be difficult to prescribe a proper floor without specific knowledge of the conditions - how much moisture, and where is it coming from? As well, it is always better to think of most anything in a home as a complete system. By that I mean, proper preparation of the substrate (the concrete) including some manner of vapor / moisture barrier and/or other assembly to mitigate the moisture or its effects.
Additionally, consideration of the space function and/or requirements for use, aesthetics, etc.
There are moisture-resistant / moistureproof flooring materials such as LVT. However, I am always concerned that these non-breathable coverings might trap moisture beneath, and create ideal conditions for mold growth - a problem which may be invisible but harmful.
I know... the concern and prospective solutions may seem simple, but - for the RIGHT answer, no so much. Summarily, there are rarely easy answers to such questions without a more-thorough analysis which can / should really only be done by professional examination of the space. For that, engage a professional designer / archtect and/or a well-educated remodeling professional.
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