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In whatever analysis you do, you should also account for the ease of tipping it over. I don't quite know exactly what the inflection point would be for a stand that is "too narrow", but in your case a significant amount of weight will be outside of the dimensions of the base, including the glass panels which are heavier than the water. If the stand is particularly tall than the chance of tipping would be worse.
You also are going to be taking away valuable real estate inside the cabinets for all your support equipment.
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