There is no FSW 3 any more and hasn't been for a while. If you can get a skilled job offer (AEO), you could apply under FSW 2. Another option to be able to apply faster is if you find another job, a skilled job, get an LMO and work permit and the employer sponsor you under PNP. Otherwise you can wait until you have done your time as a caregiver and apply through the LCP.