Sometimes, life is hard

[TranquillityBase]

You can’t expect me to spend that 
            on a cat, teeth rotting.
She isn’t eating, can’t you fix her?
 
He bit a child, this happy go lucky
            two-year-old pitty.
Ten-day quarantine or decapitation,
            that’s state law.
The trick is to find the angles between
            the vertebrae
to sever the ligaments.
 
A piece of me goes to the lab
            for testing;

a fabric worn bare,
about to tear beyond stitching.

Is " pitty" a typo, or a bit of slang I just don't know?

Don't quite get connection between last line and the poem.

Third stanza is my favorite.  It could stand alone.