HI!

Here is a demo of the filter:

function thegem_custom_logo_position($value) {
    if(in_array(get_the_ID(), array(1))){
        return 'center';
    }
    if(in_array(get_the_ID(), array(2))){
        return 'menu_center';
    }
    return $value;
}
add_filter('thegem_option_logo_position', 'thegem_custom_logo_position');

In array (1 or 2) id of the pages.

You need to add this code to the functions.php on the child theme.