What is the authenticity of the hadith: "Every eye is an adulterer, and if a woman perfumes herself and passes by a gathering, she is an adulterer," and does the word "every" include the Prophet?

The Hadith, "Every eye is an adulterer, and when a woman perfumes herself and passes by a gathering, she is such and such —meaning an adulteress—" is a good and authentic Hadith. The meaning of the Hadith is that every eye that looks at a non-mahram woman with lust is an adulterer. And a perfumed woman who passes by a gathering of men arouses their desire and makes them look at her, thus becoming a cause for the adultery of the eye, and she is sinful. The Hadith is not general to include every eye; rather, it refers to every eye that looks at something forbidden with lust. Not every instance of the word "every" always implies generality, and the prophets are purified from such. The lesson from the Hadith is the obligation to guard one's gaze and lower it from forbidden things.