magento 2.4 get scoped store id (or website id) for button in system config section

I need a button in stores > configuration that retrieves product data for the store view selected in the “scope” of the configuration. I created the button but I cannot retrieve the store (or the website) chosen via the “scope” dropdown.

I tried retrieving the current store id via StoreManager, which of course doesn’t work because the current store is the admin store and not the system/config scoped store; I also tried using the http request but it doesn’t work either:

/* MagentoFrameworkAppRequestHttp $request */
$scopeId = (int) $this->request->getParam('store', 0); 

---

/* request in controller */
$this->_request->getParam('store');
$this->getRequest()->getParam('store');

I also tried using “store_id” in lieu of “store” as the request parameter but none of the above attempts were successful.

So, is there a way to retrieve the scoped store id of the system/config?

This is my button:

- Vendor/Module/etc/adminhtml/system.xml

<?xml version="1.0"?>
<config xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:noNamespaceSchemaLocation="urn:magento:module:Magento_Config:etc/system_file.xsd">
<system>
  <section ...>
   <group ...>
    <field id="btn" translate="label" type="button" sortOrder="2" showInDefault="1" showInWebsite="1" showInStore="1">
     <label>Button</label>
     <frontend_model>VendorModuleBlockSystemConfigButton</frontend_model>
    </field>
    ...
   </group>
  </section>
 </system>
</config>

- Vendor/Module/Block/System/Config/Button.php
<?php

class Button extends Field
{
    protected $_template = 'Vendor_Module::system/config/button.phtml';

    public function __construct(Context $context, array $data = [])
    {
        parent::__construct($context, $data);
    }

    public function render(AbstractElement $element)
    {
        $element->unsScope()->unsCanUseWebsiteValue()->unsCanUseDefaultValue();
        return parent::render($element);
    }

    protected function _getElementHtml(AbstractElement $element)
    {
        return $this->_toHtml();
    }

    public function getAjaxUrl()
    {
        return $this->getUrl('route/system_config/action');
    }

    public function getButtonHtml()
    {
        $button = $this->getLayout()->createBlock('MagentoBackendBlockWidgetButton')->setData(['id' => 'btn_id', 'label' => __('Button'),]);
        return $button->toHtml();
    }

}

- Vendor/Module/Controller/Adminhtml/System/Config/Action.php

...

/* MagentoFrameworkAppRequestHttp $request */
$storeId = (int) $this->request->getParam('store', 0);  // this returns 0


$result = $this->resultJsonFactory->create();
return $result->setData(['success' => true]);

Does anyone know how to get the scoped store id (or website) for this button?

Thanks