Giving away is one thing - but it is a solution that nobody has mentioned so far. And for 2 holes - sorry, what do you put on 2-3 cm? Since the 2 holes are then missing at the very bottom, the given-away space does not matter to me either.
For example, I have this issue with the Faktum base cabinets: The hinges are also at the very bottom there, and if you use a basket or drawer, you automatically have to use the first two holes at the bottom for the hinges, because otherwise it doesn’t work at all (or you attach the door to the drawer).