Games crash on computer. What can I do?

I've had a gaming laptop from acer for 2 years now. Do not play too often but still like it every now and then. For this I have a screen of asus connected via an HDMI cable and have both screens on laptop and the large open and interconnected.

Now the problem: when I open a game on the screen side of the laptop it starts normally and works perfectly. But if I push the view onto the large separate screen, the game will work until it loads in-game, then it crashes. Then come a variety of error messages from unreal engine, steam or windows. But if I start the game on the big screen, it will not start at all and error messages will be different depending on the game.

I've already tried everything on the Internet and stood like the games run as an administrator or check for errors or compatibility, etc., but nothing worked.

Am desperate.

Ask for help, advice, tips, etc. As soon as possible.

Is the graphics card driver or DirectX up to date?

I think that could be because the large monitor is set as a secondary device. However, if the desktop is extended, the PC wants to open full-screen applications on the primary for the prioritized driver usage.
So you can try to set the big as primary or to prepare the game in the window or borderless window.

The HDMI port probably leads to the bad onboard GPU instead of the "good" dedicated GPU. And she does not grab the game. That's the case with my 1400 euro Acer laptop. An absolutely stupid design Flaw. As you know, unfortunately, you can't really do anything.

Windows states that it is up to date, but at the bottom of the taskbar, the Nvidia icon is an exclamation point that says there are updates.

How can you download?

Can you take a screenshot of it and upload on this page (https://prnt.sc) and send me the link?