Could Thutmose have participated in the burning of Assyria and why?

No, I couldn’t. Thutmose 3 ruled in the 15th century BC. At that time, Assyria was still a small state on the territory of Mesopotamia. Only 8 centuries later, she was able to turn into a powerful state in the territory of the Ancient East. Assyria was destroyed around the 7th century BC. Babylon and Media became its destroyers, so that the ancient Egyptian pharaoh Thutmose could not participate in the collapse of the Assyrian state in any way.