The board's powers over the common area's should be spelled out in your governing documents , it may be subject to a vote or the stipulation that the use does not interfere with other uses. The costs will also have to be addressed.
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HOAs are generally pretty powerful. Check the bylaws to confirm, but it's likely allowed if they think they are allowed to do it. Best of luck
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HOA's are like tiny little governments. Their power comes from the controlling docs; these go under a few names such as CC&R's, covenants, etc. There are some statutes in the Texas Property code that regulate HOA's, but probably nothing to regulate this specific thing. Get your hands on the docs and read thoroughly.