
Free Agent - NA
For now, this will be a build-only placeholder. Real guide is here: https://forums.hirezstudios.com/paladins/topic/2750/how-to-dwarven-engineer-a-barik-guide-redo.
There isn't a matchups section there, though I intend to add one here in the near future.
My standard Architectonics build.

Level 1

Forged Alloy
Turret
Increase the Health of all your Turrets by 560.
Level 4

Brave and Bold
Armor
Increase your maximum Health by 600.
Level 4

One Man's Treasure
Armor
Reduce your active Cooldowns by 20% after getting an Elimination.
Level 2

Field Deploy
Turret
Heal for 40 each time one of your base Turrets hits an enemy.
Level 2

Failsafe
Armor
Reset the Cooldown of Rocket Boots after falling to or below 30% Health.
Level 3

Master Riding
Armor
Increase your Mount Speed by 15%.
Level 1

Nimble
Armor
Gain 14% Movement Speed.
Level 2

Resilience
Armor
Reduce the duration and effectiveness of Crowd Control and Slows by 50%.
Level 2

Level 3

Haven
Armor
Reduce the Damage you take from Direct and Area of Effect attacks by 6%.
Level 1

Guardian
Armor
Increase the effectiveness of Shields you create by 10%. This does not affect most cards and passives.
Level 1
First- Master Riding, Nimble/Resilience
Rush- Cauterize, Resilience (if necessary)
Fourth- Haven/Blast Shields mainly, there is a case to be made for a few other items as well.