holy0dolly is wrong because the crate's screens can overlap with the artifact's screens, which means each artifact state can render a range of possible values.
State D: 1 Red + 2-3 Green + 2-3 Blue
State N: 1-2 Red + 1 Green + 2-4 Blue
State A: 2-3 Red + 1-2 Green + 2 Blue

3 Green is ALWAYS D.
4 Blue is ALWAYS N.
2R, 1G, 2B is ambiguous between A/N and must be uncrated.
Every other valid combination of colors maps uniquely to a state.

For those that prefer a table to a flowchart:
RGB=State
112=N
113=N
114=N
122=D
123=D
132=D
133=D
212=Uncrate
213=N
214=N
222=A
312=A
322=A

@holy0dolly, you could not be more wrong. I have tested your method previously myself in game and it was incorrect some of the time

No. You just need to subtract one from red/green and two from blue. And further look on the table from manual.

Awesome flowchart, mah man

Excellent chart! Works perfectly! Drastically reduces the need to uncrate. Does not eliminate the need entirely, when the chart says "Uncrate" then do it! Had everything labeled with all 5 criteria the night before the final day. Made the final day really smooth!

I used this to quickly find two State D's starting with 1 red and 2 green screens. It worked! Thanks.