Things aren't adding up here. Working from both threads.
Wednesday you had a puncture.
Two days later, Friday(today) you took the bike to your LBS for repair.
The morning after, tomorrow!, you went back with a gear issue.
I've taken bikes back to the bike shop for the free first service. And just as you say replacement parts cost money. You tend only to pay for what is used/replaced, not the time spent on the service. I've also given the instruction to replace what they feel requires replacing, without having to contact me to tell me, then me saying yes to that, no to that.
Saved them time and me money.
Bike was in regular use, four times a day at the time.
Alright. Here's the timeline for you Sherlock.
Friday, 20th, October, 2023. I cycled to the Canterbury bike project for my brake pads issue.
Bike got covered in grit that day.
I put bike into garage after I got back that same day. Obviously.
Monday 23rd October 2023, I go into my garage to take the bike, to the local bike shop for a bike wash. I then discover the rear tire is flat.
I walk the bike to my local bike shop and let him know I SUSPECT there might be a puncture.
The floor pump I have doesn't work it turns out. It's binned now. So I couldn't TRY to inflate my tire, nor did I know HOW to with a presta valve. Turns out I wasn't pushing the pump head far enough along the valve. Not that the pump at my house worked anyway.
My local bike shop was done with my cycle on Thursday 26th October 2023.
I collected the bike close to closing time and spent some time asking him questions and browsing his wares.
When I left he closed.
Today, Friday 27th October 2023, I went back to the local bike shop at around 12.30pm to tell him about these issues with the gears that have appeared ONLY AFTER he had my cycle.