Saying no is easy. Holding it in week three is the job.
Most prioritisation does not fail at the decision. It fails at the re-litigation.
The hard part of prioritisation is not choosing. It is that the choice gets asked again, by someone more senior, in a different room, three weeks later, with no new information.
Why it comes back
Usually because the no was delivered as a verdict rather than a reason. "Not this quarter" is a verdict — it invites appeal, because nothing in it tells the asker what would change the answer.
"Not this quarter, because it needs the same two people as the regulatory deadline in November, and that deadline is not movable" is a reason. It can still be argued with, but now the argument is about the constraint, which is a far more useful conversation.
Write down what you traded
Keep the list of what each yes cost. Not as a weapon — as memory. When the same request comes back, the answer is not "I already said no", it is "here is what we chose instead and here is whether that still looks right."
Sometimes it does not still look right. That is the point of writing it down.
The failure mode on the other side
Holding every no forever is not discipline, it is rigidity. Conditions change, and a roadmap that never reopens a decision is just as broken as one that reopens all of them.
The test is whether the thing that changed is in the world, or just in who is asking.