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Courts usually use the ordinary meaning of words when interpreting provisions or instructing parties.
From an on-line dictionary, the word paramour is defined as:
1. A lover, of either sex; a wooer or a mistress (formerly in a good sense, now only in a bad one); one who takes the place, without possessing the rights, of a husband or wife; -- used of a man or a woman.
Here is a link to the definition:
Therefore, if an individual does not fit this description, then you would not typically be violating the instructions you have been given with regard to visitation.
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