Print-Ready PNG Recreation

I have a mock-up that needs to be turned into a clean, print-ready PNG. I have some minor changes which you can have creative control over - I’m wanting the logo to go onto multiple surfaces- stubby coolers, tee’s, stickers etc. this will be for my sons racing apparel.

Here’s what matters most:
• Final file: high-resolution in a format that can be sent to suppliers.
• Turnaround: quick turnaround with revision if required.
You can work in Illustrator, Photoshop, Affinity, or any vector/raster tool you’re comfortable with—just make sure the exported PNG is crisp and print-ready.

I’ll attach multiple mockups so you can get an idea - if you think you can create something better than what i have, I’m happy to explore this with you.