We should use possessive apostrophes for nouns, like always. In general, we should treat all nouns as proper nouns in all ways, with the greatest of respect, except we should also drop the case differentiation for (proper) nouns and keep it in the appropriate (presumably lower) case as the context would otherwise suggest. Not only is this cute, both in behavior and in anthropomorphizing the concepts we're assigning ownership to etc., it's grammatically unambiguous about the context of bounded statements without the use of qualifying prepositions.
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