Sitemap showing rewrite placeholder instead of category for cpt

I’ve set up a product catalog website with a cpt Public Products which is coupled to a custom taxonomy Public Category. I’ve set up my cpt with a rewrite:

'rewrite' => array(
    'slug'       => 'prod/%tsrc_public_category%',
    'with_front' => true,
)

so my products live under the relevant custom terms. Eg prod/pots/antique-pots/brown-old-pot.
I’ve used a hook on ‘post_type_link’ to accomplish that:

add_filter('post_type_link', function($post_link, $id = 0){
$post = get_post($id);
if ( is_object( $post ) ){
    $terms = wp_get_object_terms( $post->ID, 'tsrc_public_category' );
    if( $terms ){
        $slug = get_term_parents_list($terms[0], 'tsrc_public_category', ['format'=>'slug','link'=>false]);

        return str_replace( '%tsrc_public_category%/' , $slug , $post_link );
    }
}

return $post_link;
});

All works well with this setup, except for the sitemap. It still shows my cpt products with links like prod/%tsrc_public_category%/brown-old-pot/

Is there any way to fix this? A filter on TSF’s sitemap? An edit to my rewrite method from above?

I’m aware sitemaps could be overrated, but atm we’re doing a website revamp so re-indexing is of a high importance.

Any help would be greatly appreciated!