I made a silly speedrun of having a game over as fast as i can lol. Could that be added as a new category?

Here's the video:

No. In addition your run doesn't even start from a new game.

Wait i did start from a new game, i just skipped all of the cutscenes

You can't skip the intro cutscenes from a proper new game, which requires clearing your save data. Unless you're suggesting starting without clearing your data, which you might as well use any team you want.

If you want to talk about it more, join the discord and ask there.