I have one of these sets which have had a lot of stick and are holding up well, use them in my impact driver as well. They are long enough to bury a 120mm concrete screwA good quality filler will enable you to drill a fresh hole into it after it has set.
https://www.screwfix.com/p/ronseal-big-hole-ready-mixed-wall-filler-grey-1-2ltr/95289
A common mistake drilling into brick or block is to start at too high a speed with too large a bit.
Use a bradawl or similar tool to make an initial pin prick type hole in the plaster, this will help stop the tip of the drill wandering, then make the initial hole through the plaster into the block with a smaller bit say 3mm. Then use the larger bit for the size of hole needed. Do not use the hammer setting at this stage.
A lot of modern block is very crumby and you may not need the hammer setting at all, but if the block or brick is hard you will definitely need it and at high speed.
Use a good quality masonry/concrete bit - Dewalt do very good ones at low prices:
https://www.screwfix.com/p/dewalt-5-piece-masonry-drill-bit-set/96162
Blup
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