Back to mapleplus789_156055’s question.
For me, this doesn’t fall into the category of “It’s in the sidewall. Must replace tire” category.
The sewing needle didn’t damage any sidewall belts. The question is: Is the hole large enough to let moisture in to cause rust to the belts? It doesn’t sound like it.
I would welcome seeing @CapriRacer weigh in on this one.