In my opinion, Bellatrix has it kind of backwards.
I would create artifact setups with total stats you think are good, then find weapons that can take advantage of those stats, then find a ship that could suit your playstyle and setup.
Here's an example:
Suppose you have an artifact set with 75% all res, 400% energy, no increased attack speed, 400% armor, 400% shield, and 100% shield to health. For this set, it would be a good idea to have a couple weapons with high damage per hit to take advantage of the high % boost (beams, projectors, etc). However, then you'd have trouble fighting against shield builds which are good at tanking big hits. So, you'd need a weapon with high base rof, such as needles or photonic blaster, in order to fight shield builds. Next, choose which ship is suited to this build: what has high shield, high armor, an energy% bonus, and some base rof to supplement the poor rof from artifacts? Vindicator.
Suppose your artifact set has 75% res, 300% kinetic, 100% rof, 350% health, and 100% health to shield. Because you have all that rof, there would be no reason to use weapons that are single shot beams. So, using something that benefits from high rof would be ideal: piercing gun, railgun, the golden heart weapons, and ram missiles are all weapons that could work. These weapons benefit most from a boost in kinetic%, so choose a ship with a good bonus for that, and relatively high health. Vanquisher is a good choice here.
In general, you will want weapons that, in no particular order:
1. Force Q
2. Beat Q
3. Beat shields
4. Beat health
Some weapons can do all of that if one has the proper build and skill.
First step, though: Arts.
Those examples I gave you are really just examples. I don't claim that they're good builds; I just wanted to explain my building process.
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