Red Velvet syrup

Any thoughts on making a red velvet syrup? I bought a red velvet emulsion, and did a 1:1 simple syrup. I added about a tablespoon of the emulsion, but I feel like I just can’t get the flavor right. I also added some cocoa powder to it. The goal is a red velvet latte. I made the first one with chocolate milk, it tasted really good, but I think I was tasting more of the chocolate milk than anything.