Magento 2.3.4 UpdateItemsQty controller as well as plugin has wrong store

I have created plugin for UpdateItemQty controller.

UpdateItemQty.php:

<?php
/**
 * @author Ronak Chauhan 
 */

namespace MyModuleCheckoutPluginControllerCart;

use Closure;
use Exception;
use MagentoCheckoutControllerCartUpdateItemQty as ParentClass;
use MagentoCheckoutModelCartRequestQuantityProcessor;
use MagentoFrameworkAppRequestInterface;
use MagentoFrameworkSerializeSerializerJson;
use MyModuleCheckoutHelperData;

class UpdateItemQty
{
    /** @var Json */
    protected $json;

    /** @var Data */
    protected $helper;

    /** @var RequestInterface */
    protected $request;

    /** @var RequestQuantityProcessor */
    private $quantityProcessor;

    public function __construct(
        Json $json,
        Data $helper,
        RequestQuantityProcessor $quantityProcessor,
        RequestInterface $request
    ) {
        $this->json = $json;
        $this->helper = $helper;
        $this->request = $request;
        $this->quantityProcessor = $quantityProcessor;
    }

    /**
     * @param ParentClass $subject
     * @param Closure $proceed
     *
     * @return mixed
     */
    public function aroundExecute(ParentClass $subject, Closure $proceed)
    {
        try {
            $cartRequestData = $this->request->getParam('cart');
            $cartData = $this->quantityProcessor->process($cartRequestData);

            if (true) {
                $cartRestrictionError = __(
                    "We are happy that you like so many products! Unfortunately, %1 is the limit for number of items in your shopping cart.",
                    10
                );
                return $subject->getResponse()->representJson(
                    $this->json->serialize(
                        $this->helper->getResponseData(
                            mb_strtoupper($cartRestrictionError, 'UTF-8')
                        )
                    )
                );
            }
        } catch (Exception $e) {
            return $subject->getResponse()->representJson(
                $this->json->serialize($this->helper->getResponseData($e->getMessage()))
            );
        }
        return $proceed();
    }
}

In above around plugin as well as Original controller i have checked current store but getting default store only.

If anyone has idea it would be appreciated. Thanks!