What is patent priority? Please give an example.

Yes, you can.

The premise is that the second application and the first one have different technical solutions.

That is to say, if you apply for the third patent and want to claim the priority of the second patent, then the scheme that has claimed the priority of the first application in the second application can no longer be used as the priority of the third patent application. If you have a new technical solution in your second patent, you can.