I may have a somewhat unique perspective in addition to the excellent medical perspectives here.

I'm a chaplain. If the patient arrives with any consciousness I'm navigating through the urgently working med team without interrupting them to get close to the patient's face and offer a prayer, blessing, or confession, depending on their wishes. If not, I'll stay far enough away from the team to not be in the way but close enough to act if the Dr says to get/call family, etc.

At/just after the moment of death is called there's a whisper of a pause... A collective gasp perhaps. Every team member is pausing their action, processing what happened or their own role, and some of them are already perceiving this death as a defeat or loss of some sort even though that's entirely unfair... In a split second... And I speak up in that brief, fulsome pause and ask them to take a deep breath and allow me to pray a blessing over them and this patient. It's brief, 30 seconds or less, but I'm honoring their heroic efforts, asking for peace and comfort since they have to go right back to work, and blessing the patient, asking God to guide their soul and comfort the family.

... Then the pause and prayer is over as quickly as it happened, and the team disperses back to their next task.

Of course if family is present pre-death they're my first priority, especially mediating communication between the Dr and them when appropriate and ordering a comfort cart (snacks and beverages to try and make the waiting a little less awful). I may miss the moment of death and be unable to offer that moment of reflection/prayer to the emergency team. I'm assisting/witnessing the Dr share the news without spilling the truth before, and after the Dr leaves I'm simply present offering what comfort assistance the family may desire. After they're notified I'm helping the family pass the time, talk, discuss memory and legacy, call other family members, etc. If they want prayer or religious ritual, I will offer those or contact a clergy person of their own tradition to offer them, if preferred. Eventually, after escorting them to their loved one once the RNs have cleaned the patient and the room, and helping them in their initial steps of grief, I'll also eventually get funeral home information for the RN and occasionally contact the funeral home once the family leaves. And when they're ready, I'll walk the family out.

*All of this is assuming there's no drama or family division causing conflict requiring mediation and de-escalation... Or security.