I want to have a fully automated integrated print-on-demand webshop on my squarespace photography page. Help?

I am currently building my photography website via squarespace. I find it to be very user friendly.

Now I am at the part where it is time for my "buy prints" page. I know it is possible to fully set up a webshop with squarespace, and it will probably be easy. But I do travel photography, I can't run around and manually print/ship my prints all the time. Print on demand looks perfect for me (let a company do the printing and shipping), but it seems Squarespace does not offer this service.

Is there a way to fully integrate an automated service like this into my Squarespace page. I don't want customers to be redirected to a different website. Also white-label or my own branding on the packaging would be nice.

I am building my Squarespace page with the Wexley theme. and have zero understanding of coding and such.