I can't see any argument based on the video:
https://www.youtube.com/watch?v=7rWYuAJfeWIHowever the dates on the PCN open a possible avenue, is the vehicle hired or leased by any chance?
If so, you need to write to the lease or hire company as follows:
Dear Hire Company,
I am in receipt of PCN XL96093869 and I understand you asked the local authority to transfer liability to me. Having taken legal advice, I would like to know whether you have received any correspondence from the council after you requested liability to be transferred, and if you have I would like to request a copy. I need a copy of this documentation in order to pursue my appeal.
If you have not received any further communication from the local authority, please could you confirm this to me.
Many thanks,
If the vehicle isn't hired or leased let us know as that would be really, really easy.
The deadline to make representations and preserve the discount is 11 July 2023 so don't lose track of that, if you've not heard back from the lease company by the end of next week let us know and I'll give you a draft you can send to the council to buy some more time.