The Architect tells us that the Oracle was originally created with the purpose of studying various aspects of the human psyche, and that she "stumbled upon" a solution for the Matrix of offering legitimate choice within the Matrix. Presumably, this means the Oracle made a breakthrough discovery about human choice that allowed her to see past it, which explains why she can see past most human choice while the Architect and Merovingian cannot. The Oracle is still carrying out her original purpose of studying human psyche by trying to grasp choice that is not understood by the chooser. If she can, she could potentially see infinitely far into the future of the Matrix.
Interestingly, from the Oracle's point of view, her job is to "unbalance the equation" that the Architect seeks to balance. Rather than trying to supress and squash anomalies as the Architect would surely love to do, doing so does not solve any problems. The Oracle seeks to develop such anomalies, as we see in her apartment with the Potentials in M1. This is how she studies them, and this is how she typically "unbalances" the equation.
In M2, the Oracle and Neo have the following exchange:
Oracle: So. Let's get the obvious stuff out of the way.
Neo: You're not human, are you?
Oracle: Well it's tough to get any more obvious than that.
Neo: If I had to guess, I'd say you're a program from the machine world. So is he.
Oracle: So far, so good.
Since Seraph's gold code has to be the reason for Neo's conclusion that Seraph is a program from machine world, this is why most conclude the Oracle's code is gold. The screenshot below brings confusion to this topic since it appears the Oracle's code is green:
However, remember that the Oracle's green code is only shown after Smith starts copying over the Oracle:
Since Smith already started copying over the Oracle, her gold color is likely the first thing she lost. Losing this color may have been due to Smith's "color" taking her over, but it seems even more likely that her connection to the Source was severed (either by herself or perhaps by the Architect) to prevent spreading into Machine City. At that point, she would have appeared the same color as any other program that is running in the Matrix. What ultimately convinces me of the Oracle's gold code is the following line from the shooting script of M2:
Neo stares at her for a moment seeing her code-form which is the same as Seraph's.
Although it's possible the "code-form" term could be referring to something other than the color, this seems like too much of a technicality to dismiss so easily.
Oracle: True Prophecy
Oracle: Baking Noodles
Oracle: Baking Cookies
Oracle: The Believer
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