Just wanted to give an update how i solved my proplem.
I combined now several taxonomies into one big hierarichal. And you could choose the terms inside a cloneable group.
My target was inside a bricks query loop to get the taxonomy advanced parent term name.
<?php
function mbg_get_ingredient_parent() {
$obj = Bricks\Query::get_loop_object();
$term = get_term_by( 'id', $obj['detailed_ingredients_ingredient_ta'], 'beverage-category' );
$parent_term_id = wp_get_term_taxonomy_parent_id( $term->term_id, 'beverage-category' );
return get_term( $parent_term_id )->name;
}
This code I was putting it via WPCodeBox, always on page load. And in my bricks query i was using {echo:mbg_get_ingredient_parent} to get the result.