Here is the full list of all 13 Control Craft 3 achievements.
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Get 100 kills
Conquer 30 towers
Get 3 wins without losing towers
Recapture same building 7 times
Get 3 wins without losing units
kill boss
Use lightning 10 times
Use lightning 100 times
Use freezee 30 times
Use freezee 40 times
Apply the shield 20 times
Beat 3 missions in haunted world