feat(coach,admin): finish the self-context and invite surfaces end to end

Invites move into their own admin section with a real ledger: status
badges, expiry, uses, a redemption history of who joined when (new
redemption table, revocation is now soft so history survives), and an
honest one-time link/QR moment. The assistant self-context grows
structured fields for conditions, allergies and focus — encrypted like
the free text — merges age and gender from the profile into one fenced
prompt block, and asks up to three targeted follow-up questions that
surface as tappable chips above the coach composer. A fourth nudge
trigger gently suggests a check-up when the self-context is stale and
the coach is actually in use.

src/components/admin/__tests__/invite-status.test.tsx

@@ -0,0 +1,53 @@
+/**
+ * v1.16.0 — admin invite table: status-derivation precedence.
+ *
+ * revoked > exhausted > expired > active. Revocation must win even on
+ * a row that is also expired/exhausted, because the badge documents
+ * the admin's action; exhaustion beats expiry because "it was fully
+ * used" is the more informative fact.
+ */
+import { describe, expect, it } from "vitest";
+
+import { deriveInviteStatus } from "../invite-tokens-section";
+
+const NOW = new Date("2026-06-10T12:00:00Z");
+const FUTURE = new Date(NOW.getTime() + 86_400_000).toISOString();
+const PAST = new Date(NOW.getTime() - 86_400_000).toISOString();
+
+describe("deriveInviteStatus", () => {
+  it("revoked wins over every other state", () => {
+    expect(
+      deriveInviteStatus(
+        { uses: 5, maxUses: 1, expiresAt: PAST, revokedAt: PAST },
+        NOW,
+      ),
+    ).toBe("revoked");
+  });
+
+  it("exhausted beats expired", () => {
+    expect(
+      deriveInviteStatus(
+        { uses: 1, maxUses: 1, expiresAt: PAST, revokedAt: null },
+        NOW,
+      ),
+    ).toBe("exhausted");
+  });
+
+  it("expired when past expiry with uses left", () => {
+    expect(
+      deriveInviteStatus(
+        { uses: 0, maxUses: 1, expiresAt: PAST, revokedAt: null },
+        NOW,
+      ),
+    ).toBe("expired");
+  });
+
+  it("active otherwise", () => {
+    expect(
+      deriveInviteStatus(
+        { uses: 0, maxUses: 1, expiresAt: FUTURE, revokedAt: null },
+        NOW,
+      ),
+    ).toBe("active");
+  });
+});