Predict the product for the following reaction. 
Definitions:
Persistent Mental Illness
A long-term mental health condition that significantly affects a person's ability to function in various aspects of life over a prolonged period.
Powerlessness
A state of feeling unable to control or influence events or other people, often leading to feelings of helplessness.
Homeless Shelter
A place providing temporary accommodation to people without a permanent home.
Nursing Diagnosis
A clinical judgment about individual, family, or community experiences/responses to actual or potential health problems/life processes.
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