How do I move forward when competing priorities stall me?

You can coordinate now, but competing priorities still stall you, because when everything is urgent, nothing gets to be first. That stall is not indecision on your part. It is what happens when real demands collide and no one has said out loud which one wins. Priorities that all seem equal are usually just unranked. Somewhere there is an order, even if no one has named it. The stall lifts the moment you stop trying to serve everything at once and force a choice about what matters most right now, accepting that something else has to wait. When you freeze, pick the single priority that does the most good or prevents the most harm, and move on it. If you cannot tell, ask the person who owns the outcome to rank them for you. Motion beats perfect balance. Choose one thing to move first, and the logjam starts to break.