Ferodo's advice on bedding in brakes is here
https://www.ferodo.com/en-gb/blog/give-brakes-a-break.html
There are on-line discussions/videos about resurfacing brake rotors in situ, but the methods are only practicable if the rotor can be spun (ie. on the front brakes of front-wheel-drive vehicles) and it's doubtful that a reputable dealership would attempt it.
I drive a new vehicle carefully for the first 200 or so miles, but the only car I've deliberately bedded in brakes was on a VW Golf GTi Mk 1 in an attempt to get the thing to stop! I had fitted Mintex road/rally brake pads and followed the type of procedure shown here
https://mintex.com/bedding-procedure/?lang=en-gbr
The result was terrible noise from the brakes (front disc/rear drum) and no stopping improvement. I tried everything (even prayer sometimes) to get the Golf to stop from high speed, but nothing worked. It was a well-known problem resulting from VW's hare-brained LHD-to-RHD conversion and a solution only came when a 3rd-party specialist managed to move the brake servo from the left to the right in the engine compartment. Complaints to VW elicited the response "The car will easily pass the UK's MOT brake test".
Modern cars have ABS brakes with powerful servo-assistance and the front brakes contribute most (up to 80%) of the braking power. So, even if brand-new rear discs and pads were fitted to Szilvita's Fabia, it's doubtful that the braking performance would be noticeably better.
My 2024 Fabia's brakes (disc front/drum rear) need a light touch at low speeds, but so do the brakes of my 2009 Roomster (disc front and rear) that, after 24k miles, is still on its original discs/pads. At speed and driven hard, the brakes of both cars are much less aggressive - which is to be expected will be the case.
Szilvita's comment that "When I drove the car home the first time and touched the brake we almost "banged our heads on the dashboard" it was sooo prompt when touching" doesn't surprise me - it's just a question of getting used to a car's characteristics.