C#: Tasks don't work in exported projects with AOT.

[zaevi]

Tested versions

4.x

System information

Win11

Issue description

When export with AOT, all tasks don't work.

It seems when initializing with AOT, runtime_initialized isn't assigned to true, which prevents firing ScriptManagerBridge.FrameCallback() and GodotTaskScheduler won't work.

Consider the code in MRP:

public override async void _Ready()
{
    var log = GetNode<RichTextLabel>("Log");
    log.AddText($"IsRuntimeInitialized: {GodotSharp.IsRuntimeInitialized()}\n");
    for (var i = 1; i <= 10; i++)
    {
        await Task.Delay(1000);
        log.AddText($"{i} ");
    }
}

Run in editor, and it prints as expected:

IsRuntimeInitialized: True
1 2 3 4 5 6 7 8 9 10

Run exported executable with AOT, it prints IsRuntimeInitialized: False and won't continue counting.

Activating GodotTaskScheduler manually will make tasks works:

public override void _Process(double delta)
{
    (TaskScheduler.Default as GodotTaskScheduler)?.Activate();
}

Steps to reproduce

Use MRP below.

Minimal reproduction project (MRP)

aot_task_test.zip