Well, that is the multi-tool. For the size of your property, a seperate lawnmower and walk behind snow thrower would do the job...and would be the cheaper option.
Im even considering electric. But the good ones aint cheap.
We have a couple of Ryobi 36V (probably 40V inthe US) mowers which I'm pretty happy with (bought one cheap that didn't go and simply fixed up a severed control wire to the handle). Genuine Ryobi batteries are a bit pricey though. I also have the Chainsaw, Pole saw and line trimmer (whipper-snipper) that run on the same batteries. No idea how the mowers would perform on snow (we almost never get enough snow to even cover the ground here, and we are one of the colder places in Oz).We used to have a mains powered electric lawn mower, but found the power cord was a total PITA (and not running over it was a thing to be VERY careful of)
I don't think a lawn mower is going to work on anything more than 2 inches of powder. For starters, even if you raised the cutting height to its highest setting, anything more than about 3 1/2 inches is just going to be pushed in front of the machine. In addition, that blade wasn't designed for the job. It's designed to cut, blowing the cut grass out is a secondary design concern. And snow is just too dense. When that blade tip is whipping around at 100 mph and hits all that mass, something bad is likely to happen.
I have a manual push mower with no motor. Small yard and no sharpening of blades in 8 years. if something gets jammed in it, I just bang it a couple times and usually solves it.
The trend these days is going towards electric, and specifically battery operated. I can see why. I'm getting older and lazier and I really don't like pull starters and oil changes and pouring gas anymore. I'm pretty sure my next set of yard implements with be electric and use a common battery between them. That's just the way of things.