On Tue, 8 Oct 2019 14:26:31 +0100, The Natural Philosopher
wrote:

So I should write again reminding them that they have not advanced any
proposals to fix it and warning them that if they fail to respond I will
have no recourse but court?

Yes, the Citizens Advice page I referenced has a suitable template
letter to use. This has another
https://www.which.co.uk/consumer-rig...ms-court-claim

You will need to change them a bit as they are aimed at faulty goods
but the principle remains the same.