Play the game to the strength of the wonder you are making. Example, pick military cards if you're playing Rhodes or pick resource cards if you're playing Giza.

Also, be very aware of timing. Does your opponent need brick to complete their structure and trigger the end of the game? Could it benefit you if you take that card instead? Always be in awareness of when war is triggered. Taking cards with horns might work to your advantage if your military is higher than other players.

In early game, focus more on building abilities with recurring payoff (science and permanent military) more than building your Wonder. The central mystery deck is often your best choice, especially early game, if there is no science or permanent military in view. Worst case, you get construction materials to advance your Wonder, but you have a chance at something better.

Horned military can be useful, but expensive since it is only one use. Avoid it unless it wins you points instantly, or war is imminent and you can use it to match/best your neighbor(s). If war isn’t imminent, the central deck offers a chance at permanent military or other more useful cards.