KATE SPADE Suicide Note … ‘ASK DADDY, I LOVE YOU’

Kate Spade’s suicide note was addressed directly to her 13-year-old daughter … TMZ has learned.

The note was found on a bed near her body and, according to law enforcement sources it read, “Bea – I have always loved you. This is not your fault. Ask Daddy!”

We’re also told the housekeeper found her tied with a red scarf to a closet door knob in bedroom. She was unresponsive and cold to the touch.

The housekeeper ran downstairs to building’s main floor to tell the building’s superintendent … who, we’re told … rushed upstairs, cut the scarf and attempted CPR.

Paramedics declared Kate dead at the scene.