Possible timing chain bad?

Just bought a used BMW 320i with 147k miles on it. Have had it for about a week. I notice rattling on startup that sounds like a loud clicking sound but it goes away in first 30 seconds about. The engine has a clicking noise to it however I know the n20 engines tend to have that type of noise anyway. I revved it and heard a slight whine between 3-5k rpm. I’ve been driving it fine it drives great and smooth however it just worries me with the known issue and noise. I’ve include 3 videos one of me revving it. One of it idling. And one of the timing chain and guides from what I can see.