At the beginning of each player's precombat main phase, if Blinkmoth Urn is untapped, that player adds {C} for each artifact they control.
The “precombat main phase” is the first main phase of the turn. All other main phases are “postcombat main phases.”
The precombat main phase is the first main phase of the turn. All others are postcombat main phases, even if they technically occur before combat.