You'd lose pretty quickly. Supreme court precedent on this is actually pretty clear, and it comes down to "pretty much nothing but actual slavery is considered

You'd lose pretty quickly. Supreme court precedent on this is actually pretty clear, and it comes down to "pretty much nothing but actual slavery is considered involuntary servitude". See, e.g, Arver v. United States (the involuntary military draft is not a 13th amendment violation). If the military draft is not a 13th amendment violation, i think you are going to have a pretty weak argument having to defend some guy in court is.