Final answer:
The tattoo likely penetrated the dermis layer of the skin and will be permanent.
Step-by-step explanation:
The likely deepest layer of the skin penetrated when Jack went to an unlicensed tattooist is the dermis. The dermis is the middle layer of the skin, and it contains blood vessels, nerve endings, and sweat glands. The needle used in the tattooing process penetrates the dermis to deposit the tattoo ink.
The dragon tattoo is likely to last a lifetime. Tattoos are permanent because the ink is injected into the dermis, which is more stable and less prone to shedding dead skin cells compared to the epidermis. Over time, the tattoo may fade, but it will still be visible.