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Cold brew tastes different because it has less acid than “hot-brewed” (AKA: regular) coffee. Hot water pulls more of the acids out of the ground coffee than cold water. If you were to chill regular coffee and taste that and cold-brewed coffee side by side (assuming you used the generally recommended coffee to water ratios for each) you would notice a difference. I should note there are differences in the numbers and amounts of other flavor compounds too, but it’s the acids that make the biggest difference.