Under warranty appliance not working despite repairs - John Lewis not refunding/replacing

[virgosuzie]

Purchased a Miele dishwasher from John Lewis Aug 2018 with a 2 year warranty. It was kept in a box while we waited for kitchen renovation to start (builder had personal issues and we decided to wait for him). It was barely used for 6 months when it broke down. First service visit didn't happen - engineer called on the morning to say he didn't have the required spare part. With in the hour, their customer service rep called to say the engineer had called in sick. I believe one or the other was lying but knew will get nowhere by complaining about it. Second service visit - engineer "repaired", said it was "working" & left. I turned it on an hour later, it didn't run & quoted same error code. Third service visit - engineer didn't know what the issue was, what was previously done, what he was meant to do. He left with out doing anything because could not pull the dishwasher out to have a look due to small space on either side of the machine and tight hose at the back. My partner managed to pull it out that evening with out any great effort, he is not a DIY expert or experienced in such things, being a desk-job person! Both John Lewis and Miele refuse to refund or replace the machine despite several phone calls / emails / escalation, etc. A month after reporting the fault, I am now waiting for the fourth service visit. Four working days where I have to sit at home waiting for their day long time slots. Not to mention the time & energy spent on trying to resolve this issue, hassle & stress caused to me, skin deteriorating due to washing up by hand. Both companies quote the terms & conditions that they have the right to repair, the customer has to give access, etc. Am I naive not to expect to wash up manually for well over a month after paying 1K for a well reputed brand to a well reputed department store which was barely used for 6 months? Managers in both companies have told me there is no one higher than them to appeal this to and I just have to allow them to keep repairing until they believe the engineer costs have exceeded the cost of the machine in their eyes and even then it will be their discretion on what they do further! Any advice please on how to deal with this? Thanks!

[JohnL]

This is the relevant Which guide I think

https://www.which.co.uk/consumer-rights/advice/what-do-i-do-if-i-have-a-faulty-product