Awake

Here is 2 options for you either you can use function file hook or you can make using plugin.

Option 1: You can add below code into functions.php

Option 2: Add respective plugin https://wordpress.org/plugins/remove-taxonomy-url/

2.1. And check below screenshot to select remove base slug of taxonomy

// Remove the base slug from term links
function custom_remove_taxonomy_base($termlink, $term, $taxonomy) {
    if ($taxonomy == 'breed-specific' || $taxonomy == 'inventory-make') {
        $termlink = str_replace('/breed-specific/', '/', $termlink);
    }
    return $termlink;
}
add_filter('term_link', 'custom_remove_taxonomy_base', 10, 3);

// Remove the base slug from term permalinks
function custom_remove_taxonomy_base_rewrite_rules($rules) {
    $new_rules = array();
    $taxonomy = 'breed-specific';

    foreach ($rules as $key => $rule) {
        $new_rules[str_replace("$taxonomy/", "", $key)] = $rule;
    }

    return $new_rules;
}
add_filter('rewrite_rules_array', 'custom_remove_taxonomy_base_rewrite_rules');

// Refresh the permalinks to apply the changes
function custom_flush_rewrite_rules() {
    flush_rewrite_rules();
}
add_action('init', 'custom_flush_rewrite_rules');