Which laptop to stream?

I'm looking for a laptop to stream my gameplays live on Twicht.

Unfortunately, I'm completely unfamiliar with laptops and I need your help with which one is best for it.

I'm currently playing Call of Duty on the Xbox One S and streaming on Twitch from there too. But since I would like to work with OBS to improve my stream, I wanted to buy a laptop and connect it to the Xbox.

The laptop shouldn't be too expensive, however, and is only needed for streaming.

Which one is best suited for it.

One could suggest one or the other here, but there's none. Why? Because you won't get the waste heat dissipated in the long run & the power consumption could also be a problem.

In addition, you need a capture card. If so, a streaming PC would be recommended, which would be even cheaper than a laptop.

Thanks for the answer.

But would that be a problem with the waste heat if I only stream a few hours a day?

I had already thought about the PC, but I would like to stay with the Xbox

You can also stay with the XBox.
Either way, if you don't want to stream from the XBox, you need a capture card. Otherwise you will not be able to transfer the image to the laptop / PC.

The waste heat is generated immediately, not hours.
You damage the hardware more than with a PC where there's good airflow.