No, the FAA testing fee is not included in the cost of Drone Pilot Ground School.
That fee is paid directly to your local test center when you’re booking your exam and should be about $160. Some test centers are owned by PSI (test provider) and will charge $96. We most often see testing centers charging $160.
There are about 800 test center locations across the United States.
When you’re ready to book your exam, you can use this map to find your nearest test center.