the setup

This is how my setup looks like:

as webcam I use a Waveshare 10300 RPi Camera (E)
(bought it here, unpaid advertisment)

Install raspberry pi image

Download the images from the raspberry pi website
copy it to your sd card.
on the webpage they recomment to install the rpi-manager via sudo apt install rpi-imager, but for me it wasn’t working because of dependency problems.
So I installed it the classic way: