SOS: customer filed fraudulent chargeback

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'm in a difficult situation and trying to figure out my next steps.

customer filed fraudulent chargeback. I've been dealing with this for about 4 weeks now and the situation isn't improving.

The amount being held/disputed is approximately $44,322. I have tried contacting their legal department 8 times with no resolution.

Am I overthinking this or is this a real legal issue worth pursuing?