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whether or not (say) that coffee you just drank took you out of the fasted state

A cup of coffee has zero carbohydrates, trace lipids, and about half a gram of protein. That's not going to pull anyone out of a fasting state.

Now, if you're talking about a cup of flavoured milk, that's a different question...

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I think I drink coffee but I really drink lattes…
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Adding any amount of milk to a coffee adds carbs. And a large number of people add _some_ amount of milk.
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An 8oz serving of milk (236 ml) has 12 g of carbohydrate.

People tend to add single or double cream (1/2 & 1/2 or whipping / heavy cream, respectively, in the US) to coffee, both of which have less carbohydrate, and generally add a tablespoon or two (15--30 ml) per cup of coffee. The carbohydrate content is < 2g.

That's unlikely to bring someone out of a ketosis state, which requires a daily intake of < 15--30g. That's about two full cups (450 ml) of single cream.

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