A couple of years ago, did a job at a bank that had ceramic tiles on the entrance to the building. People were doing backflips whenever we got a little snow. We removed the tiles and cleaned it down to bare concrete. After a bit of research we found a product that could be poured a 1/2" thick (a grout) that, as long as you used the recommended bonding agent was guaranteed. We could only go 1/2" thick (thickness of the tile because of the doors).
I believe it's designed as a topcoat for driveways?? You'd probably have to do a slight coat on the whole pad (I would think feathering it would probably crack near the edges). That was 2 1/2 years ago and still holding up great. Check around at some wholesalers I'm sure they probably have a product suitable for the situation.. You might have to tweak the garage door too (no biggy)

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