What does the hose belong to???

Hello 3 weeks ago my car was in the Mainz jaguar workshop. There the catalyst was changed. A week ago I rented a deep garage parking space. today I wanted to peek after the car, and my brother immediately noticed that a tube hangs under the front…. I wanted to get to know what it belongs exactly to it. maybe someone knows it here!!! I gelled up the car so that I can take better photos. Besides, I wanted to just a little bit before d drive back. It was funny!!!!! I released the handbrake and let go of the brake (he slows down slowly, automatic). But he stopped and only when I gave a bit of gas, it hit and the car shook very strongly. the second time everything was normal. The first picture (picture 1), as you can see, is torn down at the bottom right of the front. That was already in front of the workshop. Do you know what this is for??? The second picture (picture 22) there you see the hose under the car! !! Does anyone know what that belongs to??? third picture (picture3) If you don’t know what the hose belongs to, I photographed the way of the hose!! So now the question still arises… The car was recently in the workshop…. I don’t know if it just happened, if someone did something in the deep garage, or if something like that was done in the workshop. So that you go there more often, there were already cases. I hope you can help, many thanks to all already