You would want to make sure that your current air conditioning system could handle it. To do it properly, a Manual J should be done. You do not want to compromise your entire system by adding a duct without making sure it can handle the additional load.
If you find that your present system cannot handle the additional load, you may want to consider a mini-split system.
Respectfully, Frank
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Florida licensed Home Inspector #HI688. (352) 250-7818
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