woocommerce_before_calculate_totals.php

<?php
// Update shipping class if any of the specified fields has any value.
// Uncomment the marked line below if you want to check fields for a specific value.
add_action( 'woocommerce_before_calculate_totals', function( $cart ) {
    if ( is_admin() && ! defined( 'DOING_AJAX' ) ) {
        return;
    }

    $target_field_ids = [ 1642, 1643, 1644 ]; // the field IDs
    $shipping_class   = 'easy';               // the shipping class slug

    $term = get_term_by( 'slug', $shipping_class, 'product_shipping_class' );
    if ( ! $term ) {
        return;
    }

    foreach ( $cart->get_cart() as $cart_item ) {
        if ( empty( $cart_item['product_extras']['groups'] ) ) {
            continue;
        }

        $matched = false;

        foreach ( $cart_item['product_extras']['groups'] as $group ) {
            foreach ( $target_field_ids as $field_id ) {
//              if ( isset( $group[ $field_id ]['value'] ) && $group[ $field_id ]['value'] === 'Specific Value' ) {
                if ( ! empty( $group[ $field_id ]['value'] ) ) {
                    $matched = true;
                    break 2;
                }
            }
        }

        if ( $matched ) {
            $cart_item['data']->set_shipping_class_id( $term->term_id );
            $cart_item['data']->save();
        }
    }

}, 20 );