Here is the full list of all 13 Path of War achievements.
Reach Washington D.C.
Be less than 1000 miles away from Washington D.C.
Loot a Power Rod.
Destroy another player base.
Send support to an ally.
Join an alliance.
Be less than 2200 miles away from Washington D.C.
Collect 1500 Steel.
Relocate your base.
Unlock the Armored Car.
Unlock Guided Missiles.
Reach Base Level 2.
Defend against an enemy attack.