Woocommerce change default product images to their category image

So, here is the woocommerce setting that I have.

I have a few categores, let’s call them A, B, C, D, E… and so on.

From the backend, I gave category images to each categories.

Now, let’s say I post a product in the category A without selecting any images.

The product just shows the woocommerce default image (the one with the grey background).

Is there a way to use the category images as the default product image when there is no image selected?

I have tried a few codes, this is the last one I have:

add_action( 'init', 'custom_fix_thumbnail');

function custom_fix_thumbnail(){

	add_filter('wc_placeholder_img_src', 'custom_woocommerce_placeholder_img_src');

	function custom_woocommerce_placeholder_img_src( $src ) {
		if (is_shop() || is_singular('product') || is_archive() || is_checkout() || is_cart()) {
			global $post;
            $array = get_the_terms($post->ID, 'product_cat');
            reset($array);
            $first_key = key($array);
            $thumbnail_id = get_woocommerce_term_meta($first_key, 'thumbnail_id', true);

            // get the image URL for parent category
            $image = wp_get_attachment_url($thumbnail_id);

            // print the IMG HTML for parent category
            if ($image)
                $src = $image;

		}
		return $src;
	}
}

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