Logo Redesign & Vectorisation for Trademark Compliance

I need a highly efficient vector graphic designer to redesign an existing logo concept for a high-potential startup app. The final logo must be optimized for global marketability, scalable for app store icons, and built from scratch as unique vector geometry to clear intellectual property and international trademark registration checks.

Design Context & Requirements:

Icon Re-drawing - I want the exact structural composition, geometric alignment, and layout of the attached logo icon preserved. However, it must be completely recreated from the ground up as a fresh, clean vector asset— no auto-tracing or copying existing brand lines.

Typography Update - Modify the wordmark from lowercase "thresh" to start with a Capital T ("Thresh").

Font Integrity: You must retain the clean, modern sans-serif visual weight of the original typeface. If you need to use a legally clear, commercially licensed, or modified alternative font that looks almost identical to pass strict trademark checks, that is perfectly acceptable.

Specific Color Mapping:

Primary Branding Color (Hex code will be provided) - Applied to the main wordmark text and the majority of the icon shape to establish a dominant, cohesive visual identity.

Secondary Monochromatic Shades (Hex codes will be provided) - Used to ground the typography and anchor key geometric elements, creating strong contrast and sharp definition against varying backgrounds.

Tonal Variations (Hex codes will be provided) - Handled as a precise gradient or supportive accents within the icon's structure to give the geometric shape modern depth and dimension.

Accent Brand Color (Hex code will be provided) - Reserved for a select focal element within the icon to draw the eye directly to its core functionality.

Required Deliverables:

Clean, print-ready, fully scalable Master Vector Files (AI, EPS, and SVG).

High-resolution transparent PNG file optimized for mobile app interface mockups.

Confirmation that zero unmodified stock graphics or templates were used.

Note: Please start your application with the word "GLOBAL" to confirm you have read this entire creative brief. Because this is an initial rollout phase, budget efficiency is a constraint—please bid your best, competitive fixed rate for this clean-up project.