How do I balance stakeholders who all want different things?

You handle your stakeholders, and you have found the part that never fully eases: they want different things, and you cannot give everyone everything. Feeling pulled apart is not a sign you are doing it wrong. It is what standing in the middle of competing needs actually feels like. The trap is trying to satisfy everyone, which slowly satisfies no one and exhausts you. Your job is not to keep each person happy. It is to help the group reach one plan they can all live with. That means being willing to disappoint a little, openly and fairly, rather than promising fully and quietly failing. Before your next round of competing asks, name out loud what the shared goal is that sits above all of them. Bring people back to that when they push. When everyone can see the larger aim, their demands stop being a tug of war and start being tradeoffs you can weigh together.