Organize Term Categories Followed by ACF Relationship Custom Fields - Wordpress

I have two custom post type, the name is: "University" and "Majors".

Also, I have ACF relationship custom fields, the name is: "university_majors" with return format Post Object and Filter by Post Type: "Major".

And then, inside majors custom post type, I have taxonomy name: "major_categories".

The goal is, when I select the relationship fields inside university post type, I want it to be displayed with major categories followed by ACF relationship fields.

Example: Faculty of Computer Science and Information Technology -) Software Development -) Artificial Intelligence

and more.

Here is the screenshoot for the wp-admin:

Above is the university post type. And above this is relationship custom fields.

Above is major post type, and below is the categories:

Actually, I can order the categories followed with the relationship post type. But, the result like this:

The categories not in order correctly. The Artificial Intelligence should be below software engineer not duplicate categories.

I tried many things to solve, but not found any solutions. Here is the code:

<div class="col-sm-8 position-sticky">
                                            <h2>Jurusan Kuliah di <?php the_title(); ?></h2>
                                            <p>Ada jurusan apa saja di <?php the_title(); ?>? Berikut adalah daftar jurusan yang tersedia:</p>
                                            <?php
                                                $university_majors = get_field('university_majors');
                                                $previous_category = '';

                                                foreach($university_majors as $university_major){
                                                    $categories = get_the_terms($university_major->ID, 'major_categories');
                                                    $c_terms = array();
                                                
                                                    foreach($categories as $term){
                                                        $c_terms[] = $term->name;
                                                    }
                                                    $unique_cat = array_unique($c_terms);
                                                    
                                                    ?>

                                                    <?php if($previous_category !== $unique_cat[0]) { ?><strong><?php $previous_category = $unique_cat[0]; echo $unique_cat[0]; ?></strong><?php } ?>

                                                    <ul>
                                                        <?php 
                                                        $posts = get_posts(array(
                                                            'post_type' => 'majors',
                                                            'orderby' => 'menu_order',
                                                            'order' => 'ASC',
                                                            'post__in' => array($university_major->ID),
                                                            'nopaging' => true
                                                        ));

                                                        foreach($posts as $post):
                                                            setup_postdata($post);
                                                        
                                                        ?>
                                                        <li><a href="<?php the_permalink(); ?>"><?php the_title(); ?> </a></li>
                                                    </ul>
                                                    <?php endforeach; ?>
                                                    <?php
                                                }
                                                   
                                            ?>
                                        </div>

Any help is very much appreciated. Thank you in advance, developers.