Newbie question on furniture painting

Bear with me...new home owner, never even had to use a screwdriver before! I have an old kitchen table that I wanted to paint. I sanded the table and applied Semi-gloss white paint using a wagner sprayer...looks fine. My question is do I need some kind of clear coat on top of it? And if so...can/should I apply it using the wagner sprayer or brush it on?
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