Images are double when uploading via source attribute

[Ventaspective]

Hi there

I have a problem wih the REST API of WooCommerce. We are using it from FileMaker to WooCommerce to upload Products.
We only have the image source in our program in FileMaker.
So our goal is to upload the image with the REST API along with other attributes.
Everything works well except it creates a second image in the WordPress Media.
But we don't want to have double pictures on our website.
We want to upload the picture on Wordpress manually and then use the REST API with the source attribute.

It only works when you use the ID of the image, but we want to work with the source.
Is there a possibility to work with the source attribute and not have double pictures?

Thanks!
Best regards,
Lisa