For future reference and so there is never any confusion, this is the industry repair standard for all light vehicles tires:
http://www.rma.org/wp-content/upload...lchart1111.pdf
As stated by the parameters, no tire may be repaired beyond the following limit:
PUNCTURE INJURY LIMIT* 1/4” (6mm)
No reputable tire shop would repair that tire. I would definitely look into a shop that includes road hazard as part of your purchase price