This VIP plugin by default does not support post_typevalues for the "post", but this convenient function should solve it for you:
function my_add_bitly_cpts( $post_types ) {
$post_types[] = 'my_custom_post_type_name';
return $post_types;
}
add_filter( 'bitly_post_types' , 'my_add_bitly_cpts' );
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