I can see no point in having an argument about this
This how about something along the following lines,
Re: EPA 1990.
Alleged Noise Nuisance at ADDRESS
Thank you for your letter of 28 April 2021, the contents of which are noted.
There is no ongoing noise at the property.
A neighbour complained that the noise was loud but it actually wasn’t. Nonetheless, it was turned down. Nonetheless, she called the police visited and agreed but there was no cause for complaint. The police will no doubt confirm, if you contact them.
Under the circumstances I am extremely surprised to receive your letter.
Neither you nor the complainant have any cause for further complaint or action.
I trust that this is the end of the matter.
As you appreciate, the issue with the car could not be more different and it should really be posted as a separate question.
The manufacturer has no liability and it all comes down onto the toe of the dealer. Goods have to be as described, fit for purpose, and of satisfactory quality under the provisions of the Consumer Rights Act and need to be so for up to 6 years under the provisions of the Limitation Act 1980. I emphasise “up to” six years.
The onus after the first 6 months is on the buyer to prove that the fault existed at the time of the sale.
I can tell you now that writing to the dealer, from experience, is going to be a waste of time. Your remedy is to pay to get it fixed and take them to the Small Claims Court.
However you do have to write to them first in ordinary plain English in exactly the same way you’ve written to me, telling them that unless this is resolved, the whole matter is going to end up in court and you would rather not have that problem.
Thank you for letting me assist you with your legal question. I am glad that I was able to help.
I am not certain whether that answers the question for you or not, but I am happy to answer any specific points arising from this.
It will be my pleasure to help you again either further with this or any future questions you have