Cannot insert a comment on a youtube video using the Youtube Data API

I am using the Youtube Data API to insert a video.
The I use the API to insert a "commentThread" to the video, as described here in the doc. Here is my code:

  import { google } from "googleapis";  const googleApiClient = new google.auth.OAuth2(    GOOGLE_CLIENT_SECRET.web.client_id,    GOOGLE_CLIENT_SECRET.web.client_secret,    GOOGLE_CLIENT_SECRET.web.redirect_uris[0]  );  googleApiClient.credentials = tokens;  google.options({ auth: googleApiClient });  const apiYoutube = google.youtube({ version: "v3" });  await apiYoutube.commentThreads.insert({      part: ["snippet"],      requestBody: {        snippet: {          videoId,          topLevelComment: {            snippet: {              textOriginal: "Hello world!",            },          },        },      },    });

Depending on the video visibility, the response differs:

• if visibility is "private", I get a 403 error:

{  message: 'The comment thread could not be created due to insufficient permissions. The request might not be properly authorized.',  domain: 'youtube.commentThread',  reason: 'forbidden',  location: 'body',  locationType: 'other'}

I am positive that my access token (acquired through an oauth2 process) has the correct scope: "https://www.googleapis.com/auth/youtube.force-ssl"

• if visibility is "public" or "unlisted", I get a 400 error:

{  message: 'This action is not available for the item.',  domain: 'youtube.mfk',  reason: 'mfkWrite'}

In the youtube console, in Settings > Upload defaults > Avanced settings > comments, it is set to "Hold potentially inappropriate comments for review". I have also tried "Allow all comments".

How can I fix this issue and publish comments to my video?

I am aware of this similar question and tried the various suggestions but it still does not work and the API may have evolved.