Only show free shipping on one category

Im trying to show free_shipping only on one category

Is that possible ?

I have a code where I can hide the free_shipping to specific categories.
But im trying todo the reverse….(show only to 1 category)

Here is my hiding code if that helps me get any support :

add_filter( 'woocommerce_package_rates', 'hiding_free_shipping_to_skolamyndir' ,    10, 1 );

function check_cart_for_share3() {

// specify the category id's you want to hide free_shipping
 $category_ID = array(
    '141', // Grunnskólamyndir
    '140', // Hádegish?fei
    '115', // Skólamyndir
    '116', // Skólamyndir 2015
 );
global $woocommerce;
$cart = $woocommerce->cart->cart_contents;

$found = false;

// loop through the array looking for the categories. Switch to true if the category is found.
  foreach ($woocommerce->cart->cart_contents as $key => $values ) {
        $terms = get_the_terms( $values['product_id'], 'product_cat' );
        foreach ($terms as $term) {
            if( in_array( $term->term_id, $category_ID ) ) {

        $found = true;
        break;
    }
  }
}

return $found;

}

function hiding_free_shipping_to_skolamyndir( $available_methods ) {

// use the function above to check the cart for the categories.
if ( check_cart_for_share3() ) {

    // remove the method you want
    unset( $available_methods['free_shipping'] ); // Replace "free_shipping" with the shipping option that you want to remove.
}

// return the available methods without the one you unset.
return $available_methods;
}

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[ No bumping please. ]