create a new Calendar in user main account with expo

Question

I want to create a new Calendar under the user main account using expo-calendar (if possible)

I'm able to retrieve currently existing calendars including a "custom" one (for instance I have a "Family" calendar in my account:

which I am able to get information about with expo-calendar:

{
    "calendars": [
        {
            "allowsModifications": true,
            "title": "Famille",
            "name": "Famille",
            "isVisible": true,
            "ownerAccount": "[email protected]",
            "color": "#7BD148",
            "source": {
                "isLocalAccount": false,
                "type": "com.google",
                "name": "[email protected]"
            },
            "isPrimary": false,
            "id": "1",
            "accessLevel": "editor",
            "timeZone": "UTC",
            "allowedAttendeeTypes": [
                "none",
                "required",
                "optional"
            ],
            "isSynced": true,
            "allowedAvailabilities": [
                "busy",
                "free"
            ],
            "allowedReminders": [
                "default",
                "alert",
                "email"
            ]
        },
    ...

I'm also able to create events in my main account (which are correctly created and synced) by retrieving my main account CalendarId and adding events in it. Also, by simply following the example, I can create a local calendar and add events in it. but it stays local, not synced with my other devices

Now what I want to do is creating a new "calendar" (like the Family one) under my main user account using expo-calendar.

I know I can create a calendar via the web interface of google calendar and probably use it then, but is it possible to create it with expo-calendar?

I have tried a few things:

Creating a calendar with the same source as my main calendar, and the same ownerAccount. It creates the calendar, but I can neither see it in google agenda nor events created in it, and then it is removed by OS within a minute most of the time anyway.

creating a calendar with a new source (but copy pasted from the one on my main account)

setting the "isSynced" to true and to false using a "owner" access level

none of it is working

So my questions are:

Is it only possible to create a new Calendar and sync it with a google account from expo-calendar?

If it is... how can I do it?

By the way, I see the "Family" Calendar in the list of calendars, but not the "Reminders", or "Events" one. I guess they are some specials, protected calendars?