PCN 53c failing to comply with restriction

Hi

Ive just had my initial appeal rejected for entering a pedestrian/cycle zone

For some background.  I was given exemption from my sons school to enter the surrounding roads due to him being autistic and a blue badge holder.

I had no idea this was up for renewal and as I barely use  the side road unless in emergency i had no reason to suspect it was due. My wife entered the road to collect him from school last month and we got a pcn

We appealed it showing them he has a autism diagnosis, his blue badge and letter from school confirming he is a flight risk as well as confirming his attendance

I now have option to go to the adjudicator.  Do I have any reasonable grounds? Surely common sense will show it was a genuine mistake and car is eligible (I have since reapplied for the exemption)

Thanks for any help