Hi Tony,
thats not completly true 😉
I found the solution and this was posted by you here:
https://www.8theme.com/topic/shop-page-with-single-product-problem-to-customize/
I can set the custom Permalink to /shop/ and the correct breadcrumb path is shown on the product archive and the single product page.
I have to add this CSS on the page and the double “shop” is gone
.woocommerce-breadcrumb a:nth-child(3){display:none !important;}
.page-heading .delimeter:nth-child(2){display:none !important;}