Show [products] with specified IDs regardless of visibility

Hello,

I want to show a product on only one page and hide it from all other pages (shop page, related products on product page, ..). So I tried to set catalog visbility to hidden to hide it from the shop. Then I tried to view the product with the following shortcode: [products ids=’$product_ids’]. Sadly the hidden product will not be shown with that shortcode.

I then noticed that there is the ‘visbility’ option for the shortcode to show hidden products. But then it only shows hidden products and won’t show the non-hidden products. So I would need an option like ‘all’ to show visible and non visible products on a custom page. Is that somehow possible with this shortcode?

If not is there another option to achieve this?

Thank you.