The sun is only one source of temperature in weather. Another, often bigger part is weather systems; large pieces of air that travel across the land and have similar temperature, pressure, and humidity. This is what people are talking about when they talk about a “low pressure system” or “high pressure system” or even “tropical storm”.
Systems still move when the sun is down, so if a warm weather system arrives after midnight it can cause the increase in temperature you are seeing.
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