Supply Gear slot is shown on the left side of the screen in your hanger when you select a Robot.

Cycle Gear slot is shown on the right.

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Supply Gear can be used very early on in games. However, it's much harder to get your Cycle Gear to activate.

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Some Pilots - Commons mostly come to mind - have 2 or even 3 skills associated with Gear.

Be sure to notice what Type of Gear you want to use and correspond a Pilot with that Gear type.

Leonardo Ricci, a Common Pilot, has two skills that boost Gear. One provides Gear Cooldown Reduction while the other provides bonuses on Defensive Gear to Shields. So I have Energy Wall, which is a Defensive Gear that also provides a boost to shields. So I have synergized my Pilot and Gear together.
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My Main Robot Combo is a full Typhon set with three bonuses to my primary Weapons, which are x4Vortex. Furthermore, I use Sprint Reator in conjuction with my Hero Pilot's skill that states - any gear activation speeds me up by an additional 20%. AND Idy Demerost - the Hero Pilot I'm using - has a second skill associated with bonuses to movement through getting assists. So my entire robot is hyper synergized.

Closing on that point - I use Flashbang for my Cycle Gear which I think is really cool to use with Typhon's Core Ability that forces up to 3 enemy Robots to reload. So I have 2 ways to disable my enemies.

I use my own Robot as an example because everything about my build synergizes.
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So the key of learning from this Guide is this - never let a single skill on your Pilot go to waste. ALWAYS assign the Perfect Pilot for Every Robot.

o7