PNG to Print-Ready PDF/AI/EPS

I have a PNG that needs to be supplied to my printer, so I need the file converted into three separate, press-ready formats: PDF, Adobe Illustrator (AI) and EPS. The final goal is commercial printing, so please prepare each file in high-quality, CMYK color at a minimum of 300 DPI (or equivalent vector settings if you recreate the artwork).

If the image can be cleanly traced into vector, great—otherwise preserve every pixel so nothing degrades when my printer enlarges it. No extra retouching or design changes are required; the objective is an accurate, high-quality conversion only.

Deliverables
• PDF (CMYK, 300 DPI, fonts embedded)
• AI file (compatible with the latest Creative Cloud)
• EPS (CMYK, print-ready)

Once the three files pass a quick pre-press check on my end—no color shifts, no unexpected transparency issues—the project is complete.