Hi
@PatroncitoFor someone to be able to help you, you should try to describe what you were doing when the problem occurs, the software you are working with, were you editing a video, trying to render something, etc...
Concerning the problem itself, VIDEO_TDR_FAILURE, look at this link
Bug Check 0x116 VIDEO_TDR_FAILURE - Windows driversIt will be a good educational reading for you to understand the problem and also understand the problem you're facing, and perhaps point you out to what you are doing that leads to the problem. Perhaps you're not computer-savvy, but either way it can give you a glimpse on the problem. It may happen not because of the laptop nor asus drivers, but due to the way that the software you're using calls instructions or drivers functions.
So, my recommendation is:
1 - Use the laptop connected to the monitor through HDMI with common operations, like web browsing, work with office documents, see videos, etc, and see if the problem emerges;
2 - Use the laptop without the monitor to perform tasks that usually lead to the problem, and see if the problem appears;
3 - Use the laptop with the monitor for your work and see when the problem appears.
Perhaps after this you'll have a better understanding of the problem itself and can give us more details to try to help you. Also see the documentation of the software and check if it is optimized, or if there's an update for the NVIDIA® GeForce RTX™ 3070 GPU.
Hope this post can help you sorting the problem. Good luck and don't forget to post your results that can help others, and Asus, to diagnose problems in the future.