How can you record music from a mixer on a laptop?

How can I record music on the laptop from a normal DJ setup. So blender is coming? How do I connect everything? Do I need an audio interface? If so, please recommend one to me. My plan is to create and record my LivePA to create an mp3 mix of it. My mixer is the Korg Kaoss DJ controller

https://www.korg.com/de/products/dj/kaoss_dj/

With these you can use Serato and can either be used as a USB controller on the PC or as a standalone mixer. Furthermore various synthesizers with which I compose music… But everything "without" doing anything on the PC.

Midi input

There's usually a recording output on the mixer

I want to record on the PC. I actually described it in a strange way. It's about recording an audio signal on the laptop. It doesn't matter whether it comes from a mixer or a smartphone. There's no LineIn on the laptop and when I still had a desktop PC with a sound card. Was a line-in on this and recordings were possible without any problems.

I see. Well, you have a headphone jack port on the pc. Most of the time you can also record via that (otherwise you just use a splitter) and then you put a chinch on the jack cable. This is how it should work