Limitation of Liability Clause: vendor missed delivery deadline

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

Using a throwaway bc my boss knows my main. I've been trying to resolve this on my own but I'm stuck.

vendor missed delivery deadline. I've been dealing with this for about 5 weeks now and the situation isn't improving.

The contract was signed 13 months ago. I have a copy of the original agreement. The total amount in dispute is approximately $36,000.

Should I hire a lawyer for this or try to handle it myself?