Well, yes, you see it breaks the epidural and goes through the ink.
I do believe an epidural is delivered into or very near the spine as a nerve block during child birth, but I’m not a medical professional, although I have read of this specific medical concern.
I have had an epidural, the needle is 832 feet long (looks that way while in labor, probably about three inches long)
I have a tattoo and the needle length was about 1/8 of an inch.
A tattoo needle could not reach the spine.