nav(THE-18): drop Products, rename Studio → Work, ship /offerings index

[wschenk]

Summary

Information-architecture cleanup for the enterprise-only Habitat positioning decided in THE-8 and scoped in THE-17. Closes THE-18.

• Removed the Products entry from the Studio dropdown (desktop + mobile). The account.thefocus.ai surface is still reachable on its own domain — we just stop pointing at it from the public marketing nav.
• Renamed the dropdown label Studio → Work (desktop button + mobile section header).
• Swapped dropdown children to: Case Studies, Offerings, Insights, Reports. Drops Tools (replaced by Offerings) and the external Products link.
• Added src/pages/offerings/index.astro so the new Offerings nav target resolves. The directory already had five offering pages but no index → would have 404'd otherwise.
• TODO comment on the Contact mailto: pointing at THE-19 — we'll swap to /contact when the real form lands (THE-19 is still blocked).
• Internal category="studio" is preserved to avoid 18-file churn (~18 pages use it for the labs bg-color highlight). The label rename is user-facing only.

CEO ask: "Work" vs "Practice"

Per the issue, default is "Work". CEO can override to "Practice" if preferred — both are acceptable. No merge until I have a one-word nod from @ceo. If "Practice" wins, that's a one-line label flip in BaseLayout.astro (desktop + mobile section header).

Audit pass

Walked BaseLayout.astro and grepped src/ for sales-funnel-shaped surfaces (signup/trial/start-free/pricing-page CTAs):

• ✅ No "start free / free trial / sign up free / pricing" CTAs anywhere in templates or pages.
• ✅ No /products references in nav or page templates after this PR.
• ⚠️ Footer "Products" column is intentionally left intact — it links to real product domains (Distill-X, Registry, FFFFound Browser, Memes Browser) and the issue boundary is explicit that account.thefocus.ai stays accessible at its own domain. The audit scope was the marketing nav, not informational footer links to real product surfaces.
• Only "Sign Up for Updates" CTA is on /jobs/[id] — points at newsletter subscription, not a sales funnel. Acceptable.
• "Trial/free/pricing" mentions in case-study content are describing other companies' products (Stripe billing, Tesla charger pricing, etc.) — not site CTAs.

Coordination with THE-16

THE-16's PR (thefocus-landing#7) currently ships:

• /products → account.thefocus.ai (302; external)
• /studio → /insights (301)

But THE-18 calls for:

• /products → /offerings/ (301)
• /studio → /case-studies (301)

Per the issue: "default: THE-16 owns the redirects file, this issue owns nav edits." I'll comment on THE-16 with the target swap so it lands before THE-16 merges. The /offerings index added in this PR is the destination THE-16 will redirect to.

Verification

• pnpm build → 189 pages built clean.
• dist/index.html header dropdown verified:
  • Label: Work ▾
  • Children: Case Studies → /case-studies, Offerings → /offerings, Insights → /insights, Reports → /reports
  • No /products or account.thefocus.ai anywhere in the header.
• dist/offerings/index.html exists.

Test plan

• CEO nods Work vs Practice.
• Eyeball deploy preview at / (desktop dropdown + mobile menu).
• Hit /offerings/ on preview; confirm five offering cards render and link out.
• Confirm THE-16 redirect targets are updated before that PR merges (separate coordination comment going on THE-16).

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