Not sure I’d want to put my bucket into that due to concern about damaging the edge. I probably would push on it some with my grapple to see if it’s amenable to removal. Reasonable pushing and definitely no ramming.
Unless you built it, how solid it is isn’t exactly known. Non-structural mortar just mortared to the slab is a lot different than structural mortar and rebar pins cast into the slab.
If you want to test it without involving the tractor, you could whale on it with a sledgehammer a bit. If it’s coming apart pretty easy, try the tractor. If it’s more like the Rock of Gibraltar, rent a jackhammer and use the loader as a wheelbarrow for the debris.
Of course if you’re also taking out the slab, the slab itself is a different animal. If it’s unreinforced and pretty thin you might be able to get under the edge of it and pry it up, again taking care to not get crazy with it. If that’s not going well, you’ll probably have to bust it up some before you can get under it and pry it out.
I have taken out similar stuff but not that was in good condition at the time of removal.
Edit: Just remembered from prior experience, if you do give it a go with a bucket, put the edge in the mortar joint, not in the brick. The mortar isn’t as hard as brick, non-structural mortar isn’t incredibly strong.