You should.

If it manages to solve the working solutions - then it's great! why would you waste your time on it?

It it fails - then it's great! you find your value by solving the ticket, which can be a great example where human can still prevail to the AI (joke: AI companies might be interested to buy such examples)

(All assuming that your time cost is pricier than token spending. Totally different story if your wage is less than token cost)