Post a local video file as a REEL using Instagram API in Python

Question

I am able to post a video from a public URL as a REEL:

import requests

token = "..."
api_version="v23.0"
headers = {
    "Content-Type": "application/json",
    "Authorization": f"Bearer {token}"
}


# Get my user ID
id_url = f"https://graph.instagram.com/{api_version}/me"
id_response = requests.get(id_url, headers=headers)
user_id = id_response.json()['id']

# Upload a video on a public URL as a REEL
url = f"https://graph.instagram.com/{api_version}/{user_id}/media"
video_url = "https://download.samplelib.com/mp4/sample-5s.mp4"
payload = {
    "video_url": video_path,
    "media_type": "REELS",
}
response = requests.post(
    url=url,
    headers=headers,
    data=payload
)
post_id = json.loads(out.content)['id']
# wait until video has been uploaded ...
publish_url = f"https://graph.instagram.com/{api_version}/{user_id}/media_publish"
payload = {
    "creation_id": post_id
}
response = requests.post(publish_url, headers=headers, data=payload)
reel_id = response.json()['id'])

However, I cannot upload a local file. I've tried following the documentation but without any luck. I currenty have an App with Instagram Login.