When you’re talking about arranged matches between chess engines, they typically do not start playing from move 1.
The organizers of the matchup will set the match up to play a specific opening, and then let the engines work it out from there. These different openings cause enough variation that there can be an advantage to one side or the other, or a certain engine might be better in a certain position than another.
Beyond that, the engines are not *always* deterministic. Different circumstances like time pressure or a limit on depth can influence move choice.
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