Yes, It should work!
Though I have some recommendations:
We installed the AP's at the new location as per your direction (started with one AP identified as the master and then connecting one AP at a time). We were never able to have all 4 AP's working at the same time. At one point we unplugged the Master AP and suddenly 2 of the other AP's started working with one of them taking the role as master. Plugged the original Master back in and the other 2 went offline. Plugged in the 4th AP and it worked with the original Master. We verified that there is no IP conflict as we assigned static addresses to each AP.
All very confusing and frustrating. As of now there are 3 AP's plugged in and only the Master is showing as online.
Maybe we just need to default all 4 of the AP's and start over?