Her name is
Diplomacy and she is or was my ship of choice for a long time.
This is her relatively new spec because at some point I sold off her A6 Prismatic shields and that IMHO took away her ability to be a serious PVE combat ship. Instead she fills a multi roll slot like the guys at FDev probably intended.
Basically for combat the pulses can fire forever while still leaving energy in the capacitor to punch out a few bolts from the PA. Once the shields go down switch to the Cannons if you need some extra stopping power because the combined dps of the pulses with the cannons will outweigh waiting for the capacitor to recharge after the PA has drained it.
Basically do what feels right, but with respect to blazingmaniac don't use beam lasers if you find yourself with a good amount of time on target. Beams are the strongest against shields, but the weakest to hull and modules so with the changes to the game they have become a silly mess. If anything you could put beams in the medium hardpoints and pulses or bursts in the larges and use the beams to strip shields and the others to hit hull or modules if you wanted a build that didn't use any ammo.
If you want to see a comparison on some ship defenses that also gives a good amount of info on some weapons I created a post that can be found
here or if you just want to watch a video that shows everything about large lasers look no further than
here.
There is also this video
here comparing beams to pulses, but what you are seeing can be a little confusing. In the video Kornelius is in an identical cutter to his friend with exception to the weapons. His friend has 2 large pulse lasers and is shooting at him while he is returning fire with a split screen view of two different load outs, one with 2 medium and the other with 2 large beam lasers. They are both using 4 pips to shields, making them as strong as possible, an 2 pips in weapons. Neither of the commanders is allowing the weapon capacitors to recharge. In the end you see that Pulse lasers end up being about 20% more effective as that is the remaining amount of shields his friend has when his shields go down.
TL;DR I don't blame you this ended up being longer than expected. Use 2 pulse lasers and 2 med cannons.