The bailiff can't seize property that your don't own. Nor can the bailiff clamp or seize a car that has a Blue Badge displayed. As I understand your earlier post the BB was not on display when the car was clamped? Nonetheless I would be tempted to put your BB on display on the dashboard and take some pictures of it. See what others have to say about doing so.
Inform the Council that their agents, acting on the Council's authority, have illegally clamped a vehicle which is not your property and is subject to an ongoing Personal Contract Purchase agreement. Tell them that you are also a Blue Badge holder and include a copy of both sides of the badge and the PCP agreement. Demand that they release the vehicle. Copy Marstons if you wish.
The Order for Recovery is dated 22/04/2024, the warrant was authorised 05/06/2024 and we are now mid October. That suggests to me that the documents were posted to another address, Marstons found they couldn't enforce so they traced you to your current address. The should have informed the Council who would have applied to have the warrant re-sealed (reissued) to your current address.
The only issue the court will be concerned with on your Out of Time is why you are late with your Witness Statement. So please find the V5c for your car and check the address of the RK.
However neglecting to update the RK address is not going to cut it.
Have you submitted an Out Of Time application and Witness Statement to the TEC as yet?
And as per
@stamfordman I suggest that you seek help from
Bailiff Advice Online.