Convert Logo To 600-DPI Print

I have 2 photos of a company logo saved only as a JPEG, and I need an identical, crystal-clear version suitable for print production at 600 DPI. No tweaks to colours, fonts, or layout—just an exact reproduction that will hold up when scaled for larger marketing materials.

Please recreate or upscale it so the artwork remains sharp and artifacts-free.

Deliverables:
• High-resolution 600 DPI file in PNG (transparent background)
• Print-ready PDF or TIFF of the same quality

A quick turnaround would be ideal, and I’m happy to supply the original JPEG as soon as we start.