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HP Inc settles printer toner lockout lawsuit with a promise to make firmware updates optional
(www.theregister.com)
This is a most excellent place for technology news and articles.
That noise is the heads being cleaned, which needs to happen on all inkjet printers. It may be that your one was simply broken. I bet if you call Brother and ask for some advice they will help you.
Still in warranty or less than 3 years old? I saw the Reddit post on this issue, might still be worth asking, they may have developed a hardware of software fix, and if not they may allow you to switch model.