Is it frowned upon for me to take cocktail recipes that I created to a new bar?

After working at the same bar for 4 1/2 years and watching the quality slide, I decided to get another bartending gig the next town over. I’m now part time at both places, this becomes important in a second. At my original job, I got pretty good at making some unique cocktails and having them sell well on our house cocktail menu. I’m really proud of a few of these recipes, as they’ve gotten nothing but positive reviews from customers. Now, I’m stuck in a bit of a strange spot. I spoke with my new job’s bar manager today, and she said that she would be very supportive of me getting some cocktails on the next menu. Is it considered “acceptable” bartending behavior to copy the same recipe and sell it at a new place, or is it my intangible property that I’m free to bring to a new place?