What seems to work for me and many people is: soon after you join, start meeting with many people one on one. First with your immediate team, then with people in closely related teams, stakeholders, people doing a similar role, people who are a bit more senior, etc ... It can be a bit awkward initially to schedule these meetings, but almost everyone would be happy to have a chat, tell you about themselves, the company, the projects they're working on. They will often also tell you about other people you should be talking to. Listen well - people will tell you what's important, what they would be interested in collaborating on, what are some gotchas you should watch out for. After a while you'll kinda naturally get a feel for who are "your people", so just continue talking to them and find excuses to do cool stuff together. Most people are biased towards not doing enough of this sort of thing, so unless you know yourself to be some kind of hyper-social connector, assume that you're not doing enough of that and correct by forcing yourself to do more. A good rule of thumb is to meet someone new every day for a few weeks.
>What seems to work for me and many people is: soon after you join, start meeting with many people one on one.
Very much agree with this one, particularly with remote work. Most people get too many emails, and will naturally prioritize emails from people they know and have a reputation with compared to a new person.
Even quick introductions before meetings as people filter into a meeting room. You don't talk about your hobbies and family before a meeting starts with 30 people on Zoom, but that's certainly permissible with a couple people as people enter the room.