There is no way you are going to get anybody to take the case apart and then get it back together again. You can take the leg assembly off though.
Are your ceilings tall enough that you could roll it out vertically?
Or take it out a window and onto a cherry picker, or crane? Maybe call a piano mover. I think this sort of thing is their specialty, and this will weigh so much less than a piano!
Most Danish furniture of this era was shipped flat and assembled on arrival in the new country - much like Ikea furniture today. The difference being that it was assembled by professionals who weren't intending to take it apart again - so figuring out how to take it apart is more difficult, and may require some judicious tool usage. Once you get started you may find it is easier than you thought. Start by taking out the shelves and drawers, then figure out how the legs are attached, the back may be stapled in which can be removed without damage, the other four sides may be attached with screw-on connectors.
A lot of the furniture I find needs repairs of various sorts, and I sometimes need to partially disassemble to do a proper repair, and it really isn't as hard as it looks.
I'd think a skilled restorer could dismantle and repair it. It just depends how much you are prepared to spend on it.
And... I almost think it'd be worth having a word with the council or your building management to discuss. I know it sounds silly, but their movements have directly impacted your ability to move your belongings and you might want to ask them to help find a solution, even if its financially. I know it's an odd one, but it might be worth asking.
I guess if money is no object ignore me, but that would be my ultimate frustration. I assume most people on here have more disposable income than I do, judging by the multiple treasures.
Kyle
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