Logo Remake in .AI Format

I need an exact copy of my existing logo recreated in .ai format. I need it rasterized so I can cabge its size for printing

Requirements:
- High-resolution output I will need source file. .ai
- Use the provided low-resolution PNG as reference

Ideal Skills and Experience:
- Proficient in Adobe Illustrator
- Experience with logo design and vector graphics
- Ability to work with low-resolution images

Please ensure the final product is clean, professional, and matches the original logo accurately.