They likely took the antidotes that are available for VX right before, chemical-resistant gloves, applied the VX in non-binary form, then washed their hands in bleach and washed it off with water.
No. This is wrong. The far better approach would be "Pharmacologic prophylaxis against nerve agent poisoning." [1]
A prophylaxis agent is NOT an antidote.
A prophylaxis is aimed at preventing an agent from unfolding its effect, an antidote is aimed at reversing its effects. An antidote can only be used as a prophylaxis if it has no adverse effects in the absence of the effect caused by the agent.