There are some twists and turns, here is the full story.
I wanted to get it done asap, so I called AA. I explained that I have a chip, smaller than a 2 euro coin, yet I want the windscreen replaced due to the scratch on the driver side at eye level. I also told them that I already talked to the 2 repair companies, and they will need to get the replacement job OK'd by the Insurance company. After I finished, they simply transferred my call the Allglass. So I hang up and called back AA.
I explained the whole story again, and at the end I asked them not to transfer me to Allglass. They didn't, they transferred me to Claims instead.
I explained the whole story again, and he said, sure, no problem. I asked which company should I go with, and he said even though I'm with RSA (through AA), I have to deal with AllGlass, that's AA's glass repair company. He also mentioned I might have to pay 40-50 euros as "windscreen excess". It was confirmed over the phone that it won't count as a claim. I also got a number I have to call. So I did.
The automated answering system informed me, that I called the wrong number, I have to call a different one. I did, and I got to AllGlass.
I answered a few questions, including if the 166 is a hatchback or not, does it have a heated windscreen or not, what's the colour of the underwear I'm wearing, etc. etc. We agreed that somebody from their local depo will call me back.
He did, a few hours later, and asked a few more questions, like do I have rain sensor, and what's the colour of the sunblind painted on the top of the windscreen. I answered best I could, and I was told he'll call me back once they know they have the glass.
I was called back a few minutes later, they do have the screen, yipee, they can come out tomorrow afternoon and get it replaced. I asked if they want to come to Bray, where it's going to rain, or to work, where I can park in the undergroung (i. e. dry) car park. Bray was fine. They couldn't give me a more precise time than afternoon, so we agreed I'll get a call 30 mins before they expect me to be here.
Next day I got a call as I was sitting down for lunch, I asked for 40 minutes, so I was rescheduled for 90 minutes later. I got another call 30 minutes in advance of the guy's arrival. He arrived on time, at 14.30.
I asked if he wants tea or coffee, no, thanks, I'm fine, I'll call you when I'm done. OK. As a CDO sufferer, I had to pop out time to time to see what's going on, and I was shocked to see a few pegs on the white clips holding the chrome strip on the side of the windscreen broken/cut. So when he left about 60-70 minutes later, he left only with my signature on the forms, but without the 20 euro note I had in my pocket as a tip for doing a great job. I asked, so he told me he's doing this for 9 years, and the worst cars to work on are Alfas and Fiats.
So, I got my windscreen replaced, and it didn't cost me a penny - unless the clips will give up holding the chrome strips in place while I'm doing 200+ km/h on the Autobahn on the way home in a few weeks time, but that's what makes life interesting, I guess.