Lives in Santa Fe, New Mexico.

I would swear that what you have is American arborvitae, or Eastern white
cedar, Thuja occidentalis. However, it is certainly outside its normal range.
Do a Google search on Thuja for more information. I found out this species has
been found as far south as North Carolina, so it could have been planted in
northern New Mexico, if it received enough water as a youngster.
Iris,
Central NY, Zone 5a, Sunset Zone 40
"If we see light at the end of the tunnel, It's the light of the oncoming
train."
Robert Lowell (1917-1977)