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How long is the piece of string?

You haven't given any indication of the term you want to rank for. Is it any term at all? Or for a specific one? You'll struggle to rank a new website in two months for anything mildly to highly competitive.

There are a lot of variables but it feels unlikely. My understanding is that Google tends to rank brands more favourably. What is a user looking for when they are searching for the brand? The brand. Maybe if you were doing a review (opinion or user generated) site, that may rank on the first...