Logo Cleanup & Vectorisation

I’ll supply the original artwork and full style guide; what I need back is a perfectly cleaned, truly vector logo that behaves at any size.

First, please smooth the edges of the curved element only—no reshaping—then give the same subtle refinement to the angled lines in the lettering so every stroke looks crisp when scaled or printed.

When the paths are spotless, export a master file and the following variants:
• Standard colour logo
• Inverted colour version
• Optimised versions for solid black and solid white backgrounds

File formats required: EPS, SVG plus high-resolution PNG and JPG.

For the favicon and related icons, focus exclusively on the curved element. Provide a favicon.ico and PNGs from 16 px up to 512 px so the set is ready for browsers, apps, and splash screens.

Colour values, spacing, and proportions must stay faithful to the style guide; all paths should be closed, with no stray anchor points. Once everything checks out, simply zip the assets and share the download link.