bp_refresh_member_types_cache( int $post_id, post $post, bool $update )

function bp_refresh_member_types_cache( $post_id, $post, $update ) {

	/*
	 * In production code, $slug should be set only once in the plugin,
	 * preferably as a class property, rather than in each function that needs it.
	 */
	$post_type = get_post_type($post_id);

	// If this isn't a 'member_type' post, don't update it.
	if ( bp_get_member_type_post_type() !== $post_type ) return;

	// Force the cache refresh for active_member_types posts.
	bp_get_active_member_types( $force_refresh = true );

}