The NCLEX RN is a standardized examination, regardless of where you take it. You can attend nursing school
in one state, apply for licensure in another state, and take the actual examination at any aproved site, to include sites overseas if you were vacationing in that area. The exam is not "tailored" to the state in which it is taken. However, each state will have its own educational requirements that applicants awill be required to meet. Regardless of whether you are applying for licensure by examination or endorsement.
If you apply for licensure in Pennsylvania, you will have to wait until you have been issued that license before you can apply for licensure in Georgia. This is going to lengthen the time that it takes to obtain Georgia licensure. Then, there is the cost of applying for licensure in two states. Another consideration would be if or when you apply for licensure in another state, as most states are going to obtain records from every state in which you have ever been licensed; again adding time, and possibly additional cost to future licensing. Regardless of which decision you make, good luck in your future career.