Free Traffic Legal Advice

Can you just first confirm whether the car is leased?

Or do you hold the V5C?

There's something a bit fishy here !
Date of alleged contravention - 30/04/24
Date of PCN - 01/10/2024
So a full five months has elapsed.

However, as your car is leased, the first PCN would have gone to them. They would then, (if they're up-to-speed with the enforcement process), have submitted reps that they are a lease company, and supplied your name and address. The council then, under the regulations, should have accepted their reps, sent a notice of cancellation, and then served a second PCN to you.
The council have 28 days to serve the first PCN, then the lease company have 28 days to respond. After the council accept their reps, they have another 28 days to issue the second PCN. So time can pass, but five months makes me suspicious that the council have served your PCN out-of-time.  The key date is cancellation of the first PCN.

So, is the name and address on your PCN correct in all detail ?

Submit representations that the PCN has been served out-of-time. That's all you need say. Let them explain why it is in time.

@Maj14 let Mr Mustard handle this for you, I'm sure if it gets to the tribunal he'll throw the GLA argument in for good measure.