I live in Europe. I started working for a large company about 2 months ago via a recruitment agency. While browsing around LinkedIN, I stumbled on an interesting position for a different department in the same company, but in a different city. I'm not quite sure about how much overlap there is between the other department and the one I currently work for. But I wouldn't be surprised if the recruiter/manager for this position and my current manager knew each other.
Would I have broken any important rules by reaching out to the recruiter and/or manager for this other position and proposing myself as a potential candidate? I know exactly who they are and could "serendipity-call" them via our internal Microsoft Teams database. Would they typically keep my application confidential? Would it even matter if they didn't? What is the proper way of expressing interest in an internal position within the company?