sir_potato I see two primary flaws with the design. You're still clustering reactors, which only makes a ship more vulnerable to penetrating shots.
Additionally, your fore reactors are too close to the beam cannons. A ship that successfully targets and destroys a canon now has a direct line to the respective reactor - which will detonate with enough force to damage your railgun. If your railgun launcher has already taken damage, it's possible to set off the entire railgun, which will go a long way to knocking out all of the weapons on the fore end of the ship. It also exposes and possibly destroys your cockpit.
For its cost and size, it also lacks sufficient antimissile defense. Also, since you're using axial weapons, you will want more lateral thrusters to aid in station-keeping and target tracking. Perhaps, since you've already devoted a good chunk of change to "Screw that direction in particular" axial weaponry, you might consider dropping the rocket turret and factory and use the ship only in fleets with other specialist craft? Working with specialized craft means that you can spin off your shield-breaking weapons on a ship that is actually armored for close-up weapons use and relegate this design entirely to penetration attacks when shields are down.
Now, the good. Protected kiting motors are a good idea. Even if everything else changes, keep those. Additionally, putting your fore reactors in a position that isn't directly behind the beam cannons is wise, as is putting nearby personnel between the reactor and the outer hull.
I can't tell you how well the AI would do against such a ship, but I wouldn't have a hard time wiping it out with my designs, and they're worse than yours. I would try to upload a modification of your design to illustrate, but you used a .jpeg instead of a .png, and I'm a lazy designer.
Edited to add: I am neutral about shielding. If you're going to be facing another big stick like your ship, smaller shields meant to ablate when struck work well. GCW has one of the best arrays of shielding to work with, just throwing the biggest 180's on is missing a lot of potential tricks.