Painting indoor outdoor carpet.

I have a question. We have a lovely balcony off of our upstairs master bedroom.Its about 6x20. We spend alot of time out there in the evening and I love to have my coffee there every morning. I've been buying fixer upper pieces of furniture and lots of candles to make it cozy and inviting. The problem is the carpet. I do not want to rip it up, half of it is nice. Its super low weave and cleans easily, but one end is so stained it cannot be cleaned. I do not want to put rugs out there, I would like to know can I paint the entire carpet? I would love any input! Oh, its a light tan color and other than the stained end, its got no problems. Thank you!
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