The highest entropy state you can be in is completely empty space. The early universe may have been dominated by inflation, by an inflaton field with no particles in it. But again, just like for the expanding universe, that is one particular configuration that could have been in a lot of other physical configurations. All these are other possible physical configurations of that early universe.
Welcome to the September 2021 Ask Me Anything episode of Mindscape! These monthly excursions are funded by Patreon supporters (who are also the ones asking the questions). I take the large number of questions asked by Patreons, whittle them down to a more manageable size — based primarily on whether I have anything interesting to say about them, not whether the questions themselves are good — and sometimes group them together if they are about a similar topic. Enjoy!
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