How to add a new field to this section and save DB:

Please help me.
To create an customer address attribute you need to create a module, I am assuming that you know hot create a module in Magento2. If not please follow some blogs or this links or this
after creating module, you can use this code in your InstallData or UpgradeData
use Magento\Customer\Setup\CustomerSetupFactory;
/**
* Customer setup factory
*
* @var CustomerSetupFactory
*/
private $customerSetupFactory;
/**
* Init
*
* @param CustomerSetupFactory $customerSetupFactory
*/
public function __construct(CustomerSetupFactory $customerSetupFactory)
{
$this->customerSetupFactory = $customerSetupFactory;
}
Now you can use this like,
/**
* {@inheritdoc}
* @SuppressWarnings(PHPMD.ExcessiveMethodLength)
*/
public function install(ModuleDataSetupInterface $setup, ModuleContextInterface $context)
{
/** @var CustomerSetup $customerSetup */
$customerSetup = $this->customerSetupFactory->create(['setup' => $setup]);
$setup->startSetup();
$attributesInfo = [
'YOUR_ATTRIBUTE)ID' => [
'label' => 'YOUR ATTRIBUTE LABEL',
'type' => 'static',
'input' => 'text',
'position' => 140,
'visible' => true,
'required' => false,
]
];
foreach ($attributesInfo as $attributeCode => $attributeParams) {
$customerSetup->addAttribute('customer_address', $attributeCode, $attributeParams);
}
$setup->endSetup();
}