This is directly based on the Halo 4 campaign. The blue AI is Cortana, or a UNSC AI(It doesnt sound like Cortana). The yellow AI is Forunner and ignored the initial warning because it detected no Flood. The time is military time, meaning 1 A.M., 3 A.M, 5 A.M. The other section is 8 A.M., 9 A.M., 11 A.M suggesting a lapse in time of 3 hours after the normal 2 hours span, with 1 hours spans after the fact.
They are two separate AI. One recovered from damages and became active at 8 A.M. after rebooting process(or however the time works) while the other sustained no significant damage. Both have two different experiences of the after-math. The strange metallic creature is not covie, because the AI would have been more alarmed. It is Forunner. They ARE on a Shield World. The AI can't analyze the Shield World like Cortana did. I don't know what this means...
I have a strange irking that Mendicant Bias is involved. I don't know what you mean by Galactic Center, but this seems like very important info.
The AI don't refer to the artificial gravity as a gravity well. I think this is just an error on your part. The AI not being as smart as Cortana may be meaningless. It can take sample, suggesting that they have a physical form. They aren't talking to anyone, so their comments are monologue.
Also, I remember how in the campaign Master Chief was on a mountain when a ship arrived. It was the Infinity, which would seem contrary to what I have determined already. Well, this is a fan-fic...
So what we can assume:
-2 AI with physical form
-They are stupid
-The ship is not covenant
-No one is with the AI(talking to themselves b/c they are stupid)
-Yellow AI is Forunner(Ancilla, what i said already, etc.)
-Galactic center is a complicated XYZ coordinate for UNSC
-Ship may be Mendicant Bias
-Mountian(just like campaign)
-Samples of fruit(May not be Shield World) (or AI are too stupid to know)
-They say Artificial Gravity instead of Gravity Well(probably meaningless)