Hi BossDweeb, thank you for your reply. I read somewhere that Windows graphic settings override the Nvidia control panel ones. But maybe not on my computer since I do not have the message in the nvidia control panel saying it. You can see this message in this video :
https://youtu.be/Rqj7Qn57Ku8?t=121
So I went to ASUS' page for my computer :
https://www.asus.com/FR/supportonly/GL553VE/HelpDesk_Download/
And tried all the Nvidia drivers proposed, the best working one is Version V26.21.14.4193. With this one I am back to my GPU being used only when the laptop is unplugged. See for instance, what I have in my nvidia control panel for Naruto Storm 4 :

And the global parameters :

So I specified that I want to always use the dedicated GPU. Now Windows graphic parameters :

Here I selected high performances for this game : the dedicated GPU again. But when in game, using MSI afterburner I monitored the usage of GPU 1 (Nvidia) and GPU 2 (Intel). Here what I can see when I am plugged :

And when I unplugged :

As you can see GPU 1's usage is much better when I am unplugged (90% and the game works fine). When plugged it seems like both GPUs are used equally at 30%, but this is not enough for the game so it quickly starts slowing down even if here the FPS diaplyed by MSI seem fine : in reality I have like 5 FPS...