In a scene with multiple doors if one is opened lock all of others?

Perhaps make a "doorhandler" that has a list of all doors, when the door is picked, it calls back to the doorhandler to tell all other doors to close, and lock them. So something like...

 using System.Collections;
 using System.Collections.Generic;
 using UnityEngine;
 public class DoorHandler : MonoBehaviour {
     public List<DoorScript> doorsIn;
     public bool canOpen;    
     private DoorScript doorOpen;
 
     public void DoorOpenAction(DoorScript doorIn){
         canOpen = false;
         doorOpen = doorIn;
         foreach (DoorScript door in doorsIn) {
             if(doorOpen != door){
                 door.CloseDoor ();
             }
         }
     }
 }

with the door class looking something like...

 public class DoorScript : MonoBehaviour {
     public DoorHandler handlerIn;
     public void OpenDoor(){
         if(handlerIn.canOpen){
         //Open the door and whatnot, but also tell handler to close all other doors
             handlerIn.DoorOpenAction();
         }
     }
     public void CloseDoor(){
         //Close the Door.
     }        
 }

As you can see, the door opening calls the handler, makes it so other doors can't open and are closed. If you want to reset the canOpen value later in some way, storing which door is the one that is open should make it easier for other tasks you may need