Suggested tags:

highway=path
bicycle=no
bicycle:description=dismount and push bicycle
foot=designated
dog=no
footway:surface=concrete
cycleway:surface=asphalt
segregated=yes

bicycle, bicycle:description and dog would apply to all roads in the larger owned area.

For the ownership on the larger area of land, use operator:type=private
(be sure that the landuse area and ownership area co-incide. If not, the landuse area may or may not be inaccurate)

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(personally, I usually don't use "path" to indicate generic shared use, but it's not much of a problem.)