Handle Request payload using HTTPX for post data and capcha key to google recapchaV2

I’m trying to send the key I got from anti captcha, an example of the key is like this

{
    "errorId":0,
    "status":"ready",
    "solution":
    {
        "gRecaptchaResponse":"3AHJ_VuvYIBNBW5yyv0zRYJ75VkOKvhKj9_xGBJKnQimF72rfoq3Iy-DyGHMwLAo6a3"
    },
    "cost":"0.001500",
    "ip":"46.98.54.221",
    "createTime":1472205564,
    "endTime":1472205570,
    "solveCount":"0"
}

I’m trying to send the value in the g-response key (it contains bypass capcha) but I don’t know how to send a payload request to the Recaptcha URL, the network description is like this

these are the headers for the captcha,

I want to use the key that I got from anticapcha to bypass, then I make a request for data search after the capcha has been bypassed, my code is like this

class Locator(object):
    """class to find school locator"""

    def __init__(
        self,
        url: Optional[str] = "https://mybaragar.com/index.cfm?",
        params: Optional[dict[str, Any]] = None,
        headers: Optional[dict[str, Any]] = {
            "User-Agent": "Mozilla/5.0 (Windows NT 10.0; Win64; x64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/108.0.0.0 Safari/537.36",
        },
        api_key: Optional[str] = None,
        website_key: Optional[str] = None,
    ):
        self.url: str = url
        self.params: dict[str, Any] = params
        self.headers: dict[str, Any] = headers
        self.solver = recaptchaV2Proxyless()

        # solver setup
        self.api_key = api_key
        self.website_key = website_key
        self.client = Client()

    def solve_captcha(self, sitekey: str):
        """resolve captcha v2 

        Args:
            sitekey (str): website key for bypass capcha
        """
        headers: dict = {
            "content-type": "application/x-protobuffer",
            "cookie": "__Secure-3PSID=SgjFUgcMhK-HVyybbLH0riteaGdyRWxselnkRXWJxq2rjwyvYXp3pavZE0ePt1obNzd12Q.; __Secure-3PAPISID=Y_7wkodD5a0ZuHN4/Ar2CPyucPiF7dfJA0; NID=511=s-gIuV4uvQNKsfuPUm6Z41MVf8EMHdBeCD0ydgE1o6bGIQ8JE0LHu2GagudzwTjPdCfI78TASrrK6Xq9XGzk6lVaLgvNl6I9SNQ5MaVQr2hDj75FqZozXKgYYAdBAMUc-6wi1xI89i6HazvhC_7SyvajPmbXdD8J6rob43zrjlERiPshgiV8oozdvh16VdSrGQzZfWYNxqFFN95iEMo6BAXj_iEWnaRv_7vWw5oHKYcvnK3B7w_-p3C2477AXkUCEmMzRCDLlzRJjWhQ78XJD5IixMImsXmYJyGMKpkUz7gPns358uq5_bSB1WjG72fuFr9YK6XT_CqoIbLaxW1a7EWeegUjGDaXkNRCwvCvzkcMqkqLaOcT6lhqxAVWTgkT64hQX5HAr1kLd2j2Of8gZozSWqsPhaGQmCwOi4jTFxzR9B_SKVQxBBTDEMPk7XPDVeRrviwOPJJAwW55AInDpkY2Tx789-jYhpUn3t--japlkbZzpjInu6GX_wXK7ABSMRVSfpeFIQky62f-BroPYLQkU8JalDmVnQ_9gO3HsKlx1pvxV96aXNkaYu9WdW0PJ8MKc__whIenFw; __Secure-3PSIDCC=AIKkIs2ZZCAwmd6CAU2iZePJJjBhda6W0UW1jQ9rQ3phpRz_zUnE3H4cXYZRAetQu1dHi34gM6Ga",
            "origin": "https://www.google.com",
            "referer": "https://www.google.com/recaptcha/api2/bframe?hl=en&v=Gg72x2_SHmxi8X0BLo33HMpr&k=6LelzS8UAAAAAGSL60ADV5rcEtK0x0lRsHmrtm62",
            "sec-ch-ua": '"Not_A Brand";v="99", "Google Chrome";v="109", "Chromium";v="109"',
            "sec-ch-ua-mobile": "?0",
            "sec-ch-ua-platform": "macOS",
            "sec-fetch-dest": "empty",
            "sec-fetch-mode": "cors",
            "ec-fetch-site":"same-origin",
            "user-agent": "Mozilla/5.0 (Macintosh; Intel Mac OS X 10_15_7) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/109.0.0.0 Safari/537.36",
            "x-client-data": ""
        }

        response = self.client.post(url, headers=headers)
        print(response.text)

        

    def parse(self):
        soup = self.client.get(url=self.url, params=self.params,)
        index_url = soup.css_first("form#SLSearchForm[action]").attrs["action"]
        base_url = "https://mybaragar.com/{}".format(index_url)
        
        

    def search(self, update: bool = False):
        searcher: SearchGenerator = SearchGenerator(
            search_url="https://geographic.org/streetview/canada/bc/west_vancouver.html",
            update_data=update,
        )
        reports = searcher.report()
        df = pd.read_csv(reports)
        datas = df.to_dict()

can anyone help?,