Just don’t do anything where the dealer can claim you damaged it….nothing you have suggested should cause any damage and you can show him the 3 case on videos you did of the pressure gauge as evidence.
The pumps sadly cost your Canadian retailer more than a standard pump, but Lelit will most likely remove the amount from his next order, or he may well already have maintenance stocks. I feel fairly sure, when you fit a new pump in there, the problem will be solved.
Definitely fit the pump yourself, it’s very easy and will ensure you don’t get the machine damaged, because in every other respect the machine seems to be working really well.
The pumps mounts twist out of the case, I think clockwise. the baseplate has to holes with slightly curved channels, the pump rubber have nibs on them that slide along the channels and then come out the larger holes.
Look underneath and you will see what I mean. That long screw thing near the pump outlet needs to be removed as it prevents the pump untwisting during transit. The new pump will most likely come without the blue thing which is the thermal fuse, just remove it (gently trying to ease it out at the front), and put it on the new pump.
Interestingly I have not seen a black Quiet pump before, all the ones I have seen are green, so might be a country/voltage thing? The pump should be pretty quiet. If the retailer sends you a standard Ulka pump, insist on the correct quiet pump, you can use an ULKA as a temp replacement of course.