So, this solution relies on you having access to a kit with 4mm hex bits, but it's one I use all the time: you can one of those and stick a bit in it, and voilà! You've got yourself a slightly longer screwdriver, capable of reaching just a little further than before! There's just two things to consider here. One, depending on the width of the recess, the 4mm hex socket may or may not fit into the hole, and two, all of this is assuming you're using 4mm bits to begin with, so there's another way I've used that works on any size of bit. Basically, you have to drop the bit in the screw recess, then carefully slide the driver onto it without it fully fitting to the bit. This is really tricky with bits that are held in by magnets, but it's easy with a snap-fit bit. Either way, you have to slide the driver onto the bit just enough that it engages and can turn the screw. You'll no doubt have to do this multiple times per screw if you're using the aforementioned magnetically secured bits, but probably not as much if they're snap-fit. If none of these methods work for you, well, you could always use a drill if you had to, although I probably wouldn't try it unless you're out of options, as it risks stripping the screw or the bit.
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