Passage Summary: If Agnes gets her way, a lab needs cleaning. The director likes her proposal. The author concludes the lab will definitely be cleaned because the director's support ensures approval.

Conclusion: The fourth-floor lab must be cleaned out.

Reasoning: If Agnes's proposal is approved, the lab must be cleaned; the director supports both Agnes's and Immanuel's proposals, and only supported proposals are approved.

Analysis: The argument stumbles on a classic conditional logic error. It states that director support is a necessary condition for approval ('Only those...'), but then treats it as a sufficient condition (assuming support guarantees approval). Just because the director likes a proposal doesn't mean it's officially green-lit; there could be budget cuts or other hurdles. Look for an answer that identifies this confusion between what is required for an outcome and what guarantees it.