Security Deposit Not Returned: Arizona — need guidance ASAP

I publish illustrative scenarios prepared by my practice. All participants and conversations are fictional. The fictional posts are not posts by real users, accounts of client experiences, or reports of actual results.
Illustrative scenario prepared by my practice.
For informational purposes only. This is not legal advice. Laws vary by jurisdiction. Consult a qualified attorney for advice specific to your situation.
Hypothetical question

I mean quick background on my situation in Arizona — any input appreciated haha.

neighbor's tree damaging my property. I've been dealing with this for about 3 weeks now and the situation isn't improving.

I have been renting for 5 years. My monthly rent is $2,684. I have a written lease.

What's the typical outcome in situations like this?

Illustrative response

NAL, but from what I've read, you should send a written demand. Take the above with a huge disclaimer that I'm just some person on the internet.