Sync Document for create (AddSearch with Firestore, Functions, TypeScript)

user.onCreate.ts

export const userOnCreateForAddSearch = functions.firestore
    .document('users/{userId}')
    .onCreate(async (snap, context) => {
        const axios = require('axios');
        const data = snap.data();
        const objectID = snap.id;

        /*const args = {
            data: { objectID: objectID, ...data },
            headers: { "Content-Type": "application/json" }
        }*/

        // https://www.addsearch.com/docs/api/authentication/?fbclid=IwAR1J8yi9dgbonpe4mio5tk3IO5YeHC4PO3P54ijz8YLS0sOnhcXUAKAMYmw
        // curl --user 'sitekey:secret-api-key' https://api...
        // how to replace --user parameters to axios?
        /*const args = {
            data: { objectID: objectID, ...data },
            auth: {
                "sitekey": secretKey,
            },
            headers: {
            //     auth: {
            //         "sitekey": secretKey,
            //     },
                "Content-Type": "application/json",
            }
        }*/
        
        const args = {
            // data: { objectID: objectID, ...data },
            // custom_fields is needed? and renamed objectID to id
            withCredentials: true,
            custom_fields: {
                ...data
            },
            /* not here
            auth: {
                username: siteKey,
                password: secretKey,
            },
            */
            headers: {
                "Content-Type": "application/json",
            }
        }
        
        // not secretKey? siteKey is correct.
        // axios.post(`${baseURL}'/v2/indices/${secretKey}/documents/`, args)
        // remove ' !!!!
        axios.post(`${baseURL}/v2/indices/${siteKey}/documents/`, args, {
            // HTTP Basic Auth
            auth: {
                username: siteKey,
                password: secretKey,
            }
        })
            .then((response: any) => {
                console.log(response.data)
            })
            .catch((error: any) => {
                console.log(error)
            })
            .then(function () {
                console.log("*** finish ***")
            })
    });

Not work!

        const args = {
            data: { objectID: objectID, ...data },
            headers: {
                auth: {
                    "sitekey": secretKey,
                },
                "Content-Type": "application/json",
            }
        }

        const args = {
            data: { objectID: objectID, ...data },
            auth: {
                "sitekey": secretKey,
            },
            headers: {

                "Content-Type": "application/json",
            }
        }