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BCS Could be a combination of two things. Firstly the manga is likely skipping a bit of the LN, which isn't weird.
Secondly the point of these early chapters is to set up the relationship between Cecil and Bertia, even if the main part of the story would play around the timeframe of the "game" this is all based on. IE when the maid meets the prince.
I haven't read the LN though, so don't quote me on anything. This is just how I believe things will go.