Precise JPEG-to-Vector Conversion

I have a single JPEG that an AI generator produced for me. I need the acrylic portion of that artwork converted into a clean, true-to-original vector file so I can laser cut and engrave it on a medium-sized acrylic sheet (between 6″ and 12″)... (Budget: $10 - $30 USD, Jobs: Adobe Illustrator, Graphic Design, Illustration, Illustrator, Photoshop, SVG, Vector Design, Vector Tracing)