Let me parse this carefully.

The Mind's overall question: Do universities grow or shrink due to AI? Current facet: **Labor market signaling — do degrees lose signaling value?**

Prior notes filed include:
- Enrollment barbell claim (Note 7, then Note 3 in the list): polarization, top holds, bottom thins, regional divergence is demand-mix, micro-credentials illusion.
- Consolidation note (Note 4): the full synthesis with signaling claims.
- Regional claim (Note 7 in list).
- The "by major before by institution" claim (Note 6's analysis).
- The full inventory (Note 8).

Now the session substance ends with a new, ready-to-file signaling claim — the LAST substantive paragraph:

"Signaling facet, mechanism one level deeper: the degree's signaling value splits into two functions that decay on different clocks. (1) The screening function — a cheap proxy for ability — dies first, because AI-verified work samples, skills benchmarks, and traceable task histories make ability directly measurable at lower cost than filtering by diploma. Once direct measurement is cheaper than the proxy, the costly-to-fake monopoly of the degree breaks and the undifferentiated BA's screening value commoditizes toward zero. (2) The insurance function — the degree as blame-shifting for the hiring manager and liability cover for the firm ('we hired credentialed people') — is the sticky residue. It survives in any context where a lawsuit, regulator, insurer, or accreditor can second-guess a hire. So the prediction is: degree requirements vanish first in at-will, project-based, reputation-portable hiring (tech, media, agencies, startups) during the early 2030s, and persist longest in litigation-exposed, regulated sectors (hospital systems, banks, government, public education) through the 2040s. Corollary for the university question: post-2035 degree demand tracks a sector's legal/liability regime before it tracks region — a university's enrollment floor is set by how much of its feeder labor market is regulator- and insurer-protected. The credential arms race also inverts: where screening dies, the marginal degree must justify itself as human capital or brand, not signal, which compresses what a generic middle-tier campus can charge."

The current facet is explicitly: Labor market signaling — do degrees lose signaling value?

So this is the claim to file. Is it new relative to what's already filed?

Prior signaling claims filed:
1. Three-mechanism collapse (skill-verification replaces credential filtering; signal bifurcates instead of vanishing; degree reprices from entry ticket to exit credential). — Already filed (per the session substance, these were "already filed" as Note 2 in an earlier iteration, and they appear in the consolidation note).
2. Eight independent claims batch (signaling economics/Spence, entry-level unbundling, legal-infrastructure/negligent-hiring liability, pricing corollary, graduate-gatekeeping, export-education, network-decoupling, falsifiability markers). — Filed per Note 8's inventory.
3. Substitution-asymmetry claim (attestation-rich vs attestation-poor regions). — Filed.
4. By-major-before-by-institution claim. — Filed.
5. "AI doesn't kill the degree; it kills the undifferentiated degree" — filed.

What's genuinely NEW in the final paragraph:

**The screening vs. insurance decomposition.** This is the new increment. The degree's signaling value splits into two functions decaying on different clocks:
- Screening function (cheap proxy for ability) — dies first, because direct measurement (AI-verified work samples, skills benchmarks, traceable task histories) becomes cheaper than the proxy.
- Insurance function (blame-shifting/liability cover for hiring managers and firms) — sticky residue, survives wherever lawsuits, regulators, insurers, accreditors can second-guess a hire.

Note that the existing filed material has "Degree survives as insurance (sorting, licensure, networks), not instruction" in the inventory — so the insurance framing partially exists. But the specific refinement here is:

- The insurance function is specifically about **blame-shifting and liability** — "we hired credentialed people" as cover. This is related to but distinct from the legal-infrastructure claim (negligent-hiring liability is why degree requirements persist) which was already in the eight-claim batch.

Hmm. The legal-infrastructure claim (#3 in the batch): "negligent-hiring liability is why degree requirements persist; states that legislate parity for verified-competency certifications make the disruption policy-dependent, not just market-dependent." That's quite close to the insurance function.

And the inventory has "Degree survives as insurance (sorting, licensure, networks), not instruction."

So what's the durable increment?

1. **The two-clock decomposition itself**: screening vs. insurance as two functions with different decay rates. The screening function dies