Use of Hidden Fields in Embedded Forms

In the web system I am developing, we display a popup-style form using the following code:

<div data-tf-live="XXXX" className="relative" onClick={handleClose}></div>

I have confirmed that the button is displayed correctly, and pressing it will display the form.

Now, I want to use the login information of our web system to pass on to typeform who has submitted this form. Although it's possible to prepare a field for users to enter their names, I want to reduce the user's burden as much as possible. Instead of having a field, I'd prefer to pass the user information to Typeform behind the scenes and link it to the results.

Is such an implementation possible?

Even if I prepare hidden fields, I haven't found a way to pass the data in the case of embedded forms, which is why I wanted to ask here.

Thanks in advance!