High-Res Vector Logo Redesign

I have a single, very low-resolution logo that now needs to look crisp on anything from business cards to large banners. Alongside rebuilding it as clean, scalable artwork, Key points • Recreate from the pixelated source into true vector artwork—no auto-tracing artefacts... (Budget: $10 - $30 USD, Jobs: Adobe Creative Cloud, Adobe Illustrator, Adobe Photoshop, Graphic Design, Illustrator, Logo Design, Photoshop, Vector Design)