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According to the Hanafi and Hanbali schools, he must stop eating at that point, but the day doesn’t count as a fasting day and he needs to make up for that day.
According to the Maaliki and Shafi’i schools, it is recommended for him to stop eating the rest of the day out of respect for the month and to not have people see him eating and wonder why he is not fasting. He still needs to make up that day.