Hide the product used in option of another

Hi everyone,
I have a product with variants
I use this product as an option of other products. I would like to avoid the customer to buy this product "alone" but if I change the setting (disable the product or change the access level of this product) the option disappears from the linked products.

What is the best way to hide a product from the public but still use it in options of other products ?

best regards.

I see that the products are displayed separately in the cart...
I think it's best if I explain my need again from the beginning.

I would like product A: t-shirt with colour/size variations
I would like product B: tank top with colour/size variations
I would like to have product C: "Bird" printed pattern.
I would like to have a product D: Printed motif "Fish".

The visitor must see in the list of products :
- a tank top with a fish motif
- a t-shirt with a fish motif
- a tank top with bird motif
- a t-shirt with a bird motif

When visitors look at the product sheet "bird t-shirt" (for example) they can choose the size and colour of the t-shirt.

I do the printing (fish or bird) myself. I then print the design only after the customer has placed an order. So when I bring in stock it is only tank tops or t-shirts without a design.

Can you tell me what settings I need to put in place to make this work?
Thank you in advance.

Hi thank you for your answer.
Everything works fine exept that the product can be added an unlimited amount of time to the cart.
I would like to use the stock of the selected "option" product.

Is that possible ?