Logo Vectorization from JPEG/PNG

I have my brand’s logo only in a JPEG/PNG file and need it rebuilt as a true vector. Nothing about the design should change—colours, proportions, and line weights must match the source exactly so it scales cleanly for print, web, and large-format signage... (Budget: $30 - $250 AUD, Jobs: Adobe Creative Cloud, Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustrator, Logo Design, Photoshop, Vector Design)