I can't create form via API with fields that have type Calendly

When I try to create a form with the field type 'Calendly,' I receive the error message 'The payload is invalid.' However, my Calendly account is authorized in Typeform.

Here is the body of my request:

{
    "type": "quiz",
    "title": "test",
    "workspace": {
        "href": "https://api.typeform.com/workspaces/LaGeDM"
    },
    "theme": {
        "href": "https://api.typeform.com/themes/qHWOQ7"
    },
    "settings": {
        "language": "en",
        "progress_bar": "proportion",
        "meta": {
            "allow_indexing": false
        },
        "hide_navigation": false,
        "is_public": true,
        "is_trial": false,
        "show_progress_bar": true,
        "show_typeform_branding": true,
        "are_uploads_public": false,
        "show_time_to_complete": true,
        "show_number_of_submissions": false,
        "show_cookie_consent": false,
        "show_question_number": true,
        "show_key_hint_on_choices": true,
        "autosave_progress": true,
        "free_form_navigation": false,
        "use_lead_qualification": false,
        "pro_subdomain_enabled": false,
        "capabilities": {
            "e2e_encryption": {
                "enabled": false,
                "modifiable": false
            }
        }
    },
    "thankyou_screens": [{
        "ref": "default_tys",
        "title": "Thanks for completing this typeform\nNow *create your own* — it's free, easy, & beautiful",
        "type": "thankyou_screen",
        "properties": {
            "show_button": true,
            "share_icons": false,
            "button_mode": "default_redirect",
            "button_text": "Create a *typeform*"
        },
        "attachment": {
            "type": "image",
            "href": "https://images.typeform.com/images/2dpnUBBkz2VN"
        }
    }],
    "fields": [{
            "title": "What is your name?",
            "ref": "bba7449c-9228-4b88-8b7b-d3349c0bbc15",
            "properties": {},
            "validations": {
                "required": false
            },
            "type": "website"
        },

        {
            "title": "...",
            "ref": "3f886918-9bb6-4079-ae5d-690d38b177dc",
            "properties": {},
            "application": {
                "application_block_id": "e0e30acc-7f97-437f-ad36-bdfb9191b5d4",
                "installation_id": "e6eab9f9-5f8e-429c-bf8c-405d938c53b9",
                "iframe_url": "https://api.typeform.com/applications/calendly/installations/e6eab9f9-5f8e-429c-bf8c-405d938c53b9/iframe/e0e30acc-7f97-437f-ad36-bdfb9191b5d5",
                "inputs": [{
                        "value": "",
                        "label": "Name",
                        "ref": "name"
                    },
                    {
                        "value": "",
                        "label": "Email",
                        "ref": "email"
                    }
                ]
            },
            "validations": {
                "required": false
            },
            "type": "calendly"
        },
        {
            "title": "How old are you?",
            "ref": "3b40b25c-0333-43d1-a3d2-dd7e7ffb2cb3",
            "properties": {},
            "validations": {
                "required": false
            },
            "type": "number"
        },
        {
            "title": "Do you like pizza?",
            "ref": "63342b08-1439-43f6-a092-166a0fe0aa37",
            "properties": {},
            "validations": {
                "required": false
            },
            "type": "yes_no"
        }
    ],
    "hidden": [
        "user_id"
    ],
    "variables": {
        "variable_0": 1,
        "variable_1": 2
    },
    "created_at": "2023-10-09T09:41:10+00:00",
    "last_updated_at": "2023-10-09T12:33:12+00:00",
    "published_at": "2023-10-09T09:43:49+00:00",
    "_links": {
        "display": "https://hssm76m31t1.typeform.com/to/zthUg0CF",
        "responses": "https://api.typeform.com/forms/zthUg0CF/responses"
    }
}