can't change the value of ONE button (search page SEARCH button)
Did not realize the search page is structured different than a block search here is the solution that worked posting for anyone might have the same problem

function MODULE_NAME_form_alter(&amp;$form, \Drupal\Core\Form\FormStateInterface $form_state, $form_id) {
  if(in_array($form_id,["search_block_form"])) {
    $form['actions']['submit']['#value'] = "Custom Search Value";
  }
  elseif(in_array($form_id,["search_form"])) {
    $form['basic']['submit']['#value'] = "Custom Search Value";
  }
}