I'd avoid a dealership like the plague.
Ive had my 182 since new. I took it to the local dealership when the 1st cambelt service was due. It was a clusterfuck from the moment I dropped it off.
I had a written agreed price of £499 which was on Renault website at the time. They later removed that price for Clio sport 1*2s on the website. But like I said they'd agreed the price and I had it in writing so there was no way I was going to pay a penny more.
They'd never seen a 182 before, they'd ordered the wrong parts. They phoned me about the locking wheel nut key to remove the wheels. It didn't even have the locking wheel nuts fitted at the time. That didn't exactly instill confidence in them.
They had the car for 5 days in total

. On the invoice it says Renault Clio Tourer lol.
The service manager came to meet me when I went to collect the car and pay the bill. He said they'd made a huge mistake and the bill should have been "£1500" but they'd honour the price quoted

Anyway. The next cambelt service I had done at Diamond motors back in 2015. The car was making a horrible noise. It turns out the Renault dealership had used a " none genuine" water pump and it was rattling its tits off and that was after only 28k miles

The last cambelt service in 2020 was at Birchdown. When I spoke to them they were happy for me to supply Genuine Renault parts. I got a good deal on all the parts so it was happy days. I'd never use any parts other than Genuine Renault, even if it saves you a few £££s.
I'm pretty sure Mick will let you supply your own parts as long as they're genuine. If not. You could always try Birchdown. They have a courtesy car you can use for the day while they do the work.