Minimalist Social Media Logo Design

I would like to take the brand Smart Day and design a logo based on the attached. Smart Day will promote different product lines, the names of which will be added to the term “Smart Day”. For example, a pet line will be called Smart Day Pet and the logo will have the same style and font. Smart Day will be the root and serve as the term Prosta in the attached logo, and the word Pet will be in a colored box as the word Nu is in the label. The other lines will have the same style, where Smart Day is always the same style and color, but each name of a product line will use the same font as Smart Day, but will have a different color as follows:
SmartDay Pet (ex: Pet in blue)
Smart Day Life (ex: Life in green)
Smart Day Trends (ex: Trends in orange)
Smart Day Health (ex: Health in purple)

I would like to see the text in all lower case as well as with a capitalized first letter of each word


Deliverables (all final, ready-to-use):
• Scalable vector file (AI or SVG)
• High-resolution PNGs (transparent and solid backgrounds) in square and circular crops
• A quick usage note outlining safe-space and minimum-size recommendations

Source files should be created in a standard tool such as Adobe Illustrator or Figma so I can make small tweaks later if needed. Mock-ups on Instagram or Facebook placeholders are ideal for review.

Thanks