The verb חִטֵא (offer it for sin) in intensive conjugation teaches that one removes the sin and the disadvantage, and it comes with respect to dashing of the blood. And moreover, it refers to sprinkling of the ash of a cow in that it removes the disadvantage of the uncleanness.

And any place where the verb חטא is found with a pronoun, the pronoun will refer to the object that accepts the sprinkling and the cleanness. And moreover, it means “clean oneself” when it is in reflexive conjugation.

But in three places, the pronoun refers to the sin offering itself, and they interpret it to mean that it is made with the blood, as is from the law of sin offerings.

And we find that the sages of blessed memory explain that when it is written וכל חטאת אשר יובא מדמה (And no sin-offering, whereof any of the blood is brought)⁶⁵⁵ and moreoverמדם חטאת הכפורים (with the blood of the sin-offering of atonement)⁶⁵⁶ that חטאת is a noun derived from the verb חטא in intensive conjugation, and it means sprinkled blood.

Three places in the Torah, the pronoun that comes with the verbחטאrefers to the sin offering itself⁶⁵⁷:

Leviticus 6:19 says,הכהן המחטא אתה יאכלנה במקום קדש תאכל בחצר אהל מועד(The priest that offers it for sin shall eat it; in a holy place shall it be eaten, in the court of the tent of meeting), using המחטא אותה for “that offers it for sin”.

Leviticus 9:15 says,ויקרב את קרבן העם ויקח את שעיר החטאת אשר לעם וישחטהו ויחטאהו כראשון(And the people's offering was presented; and he took the goat of the sin-offering which was for the people, and slew it, and offered it for sin, as the first), usingויחטאהוfor “and offered it for sin”.

2 Chronicles 29:24 says,וישחטום הכהנים ויחטאו את דמם המזבחה לכפר על כל ישראל כי לכל ישראל אמר המלך העולה והחטאת(and the priests killed them, and they made a sin-offering with their blood upon the altar, to make atonement for all Israel; for the king commanded that the burnt-offering and the sin-offering should be made for all Israel), using ויחטאו for “and they made a sin-offering”.

footnotes: ⁶⁵⁵ Leviticus 6:23. ⁶⁵⁶ Exodus 30:10. ⁶⁵⁷ Malbim, HaTorah v’HaMitzvah Tzav 59.