Child support is what is called "child support" in any order.
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Child support is money that goes to help financially support the child. Supervised visitation fees are fees spent to support the facility that is having to provide a place to watch the child and the parent, plus a supervisor, etc. So you can't look at the money spent on supervision as child support. It literally does nothing to support the child.
If the supervised visitation is too expensive, then perhaps try to find a place that has a sliding scale, or see if the court may agree to a mutual friend or relative supervising.
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