How to Create Multi selection search Form using Default WordPress Category Terms, and Custom post Types Taxonomies Terms?

Question

The search form should be dynamic means when adding a new Taxonomy term should auto add in the search form. As well default WordPress category can also be added to the form.

Following are all Terms:

1- Default WordPress Category Terms
a- Computer IT
b- Graphic Designer

2- Custom Post Type (Taxonomy Name Location)
a- City Name 1
b- City Name 2

3- Custom Post Type (Taxonomy Name Job Type)
a- Part-Time
b- Full Time

Form fields Diagram

0- Keyword Field - 
1- Default Category (Terms in Dropdown) 
2- Location (Terms in Dropdown) 
3- Job Type (Terms in Dropdown) - 
Search Button

Auto Add New Term in Form Any Term when we create new should auto add in relevant Search Form field.

Apply Conditions: With single field use, search should be working as well with all field use search also works.

I am trying to use this code.

Search Form Field:

<form action="search" method="get">
        <input type="search" name="search_text" />
        <select name="type">
            <option>Select Type</option>
            <?php
$categories = get_categories();
foreach($categories as $category) {
  ?>
<option value="<?php echo $category->name; ?>"><?php echo $category->name;?></option>
<?php  
}
?>
            
        </select>
        <button type="submit" name="">Submit</button>
    </form>

Search Template Code:

<?php

if($_GET['search_text'] && !empty ($_GET['search_text']))
{
    $text = $_GET['search_text'];
}

if($_GET['type'] && !empty ($_GET['type']))
{
    $type = $_GET['type'];
}

?>



<?php
            $arg = array(
                'post_type' => $type,
                'post_per_page' => -1,
                's' => $text,
                'exact' => true,
                'sentence' => true
                
                );
            $query = new WP_Query($arg);
            while($query->have_posts()) : $query->the_post();
        
        ?>
            
            <h5><?php echo the_title(); ?></h5>
            <strong>
                <?php
                        
                    /*Testing*/ 
                    if(get_post_type() == 'post'){ echo 'Post';}
                    if(get_post_type() == 'Computer'){ echo 'Computer';}
                    if(get_post_type() == 'Designer'){ echo 'Designer';}
                    if(get_post_type() == 'New Category'){ echo 'New Category';}
                ?>
 
            </strong>
            
        
        <?php endwhile; wp_reset_query();?>