When the remnants of an offering's blood are brought outside of the Temple - that's a liability for violating offering outside of the Temple. This aspect of the blood is considered essential to the offering - with many subsequent implications (and subject to dispute). Also, a new mishnah - on melikah of the birdsa and also slaughtering - when the action taken outside the Temple is problematic and when it is not. Also, the Gemara shifts focus from preparation of the offering to the liability for it, when offered outside of the Temple. Plus, another mishnah: On collecting the blood of a sin-offering - what happens when the blood is in one cup and then brought to an altar outside of the courtyard, or inside - that's liable.