feat(medications): make low-stock alert reorder-lead-time aware

The low-stock alert fired when the projected runway dropped below the
user threshold (default 7 days). For a sparse cadence — a weekly
injection's 7-day floor is barely one dose-interval — the warning landed
with about one dose left, too late to reorder before the supply ran out.

Add an optional per-medication reorder lead time plus a user-level
default (0–60 days, default 10) and widen the alert trigger to
max(lowStockRunwayDays, leadDays + cadenceIntervalDays), so the warning
lands before the last dose for any cadence. Because the trigger is a
max() over the user floor it never shrinks anyone's current threshold; a
daily med with no lead keeps its prior boundary.

The push body and the card notice surface concrete dates — supply runs
out around <date>, reorder by <date> — with a last-dose informational
state and the days/units fallback when supply data is thin. Retire the
stale fixed 4-dose count threshold on the GLP-1 details endpoint and
route its card lowStock flag through the same runway evaluation so the
card and the daily cron agree. Surface the lead default in the low-stock
settings card with progressive disclosure; a single medication can
override it.

Additive schema: nullable Medication.reorderLeadDays (migration 0161, no
backfill) and notificationPrefs.medication.reorderLeadDays. OpenAPI
regenerated.

src/lib/openapi/routes/medications.ts

@@ -152,6 +152,13 @@ export const medicationResource = z
       .describe(
         "v1.16.10 — inventory units one dose consumes (e.g. 2 tablets of 2 mg for a 4 mg dose). v1.16.12 — may be a split-pill fraction (¼ / ⅓ / ½ / ⅔ / ¾); thirds carry as ≈0.3333 / 0.6667. Default 1. The intake consumption hook decrements this many units per taken dose; dose-derived readouts divide unit counts by it.",
       ),
+    reorderLeadDays: z
+      .number()
+      .int()
+      .nullable()
+      .describe(
+        "v1.17.0 — optional per-medication reorder lead time in days (0–60). The low-stock alert widens its trigger by this lead plus one dose-interval so a refill arrives before the last dose. null = inherit the user-level notificationPrefs.medication.reorderLeadDays default (10).",
+      ),
     active: z.boolean(),
     notificationsEnabled: z.boolean(),
     liveActivityEnabled: z

src/lib/openapi/routes/profile.ts

@@ -62,6 +62,14 @@ const notificationPrefsResolved = z
         .describe(
           "Low-stock alert threshold as remaining runway days (1–60). null = alert off. Default 7.",
         ),
+      reorderLeadDays: z
+        .number()
+        .int()
+        .min(0)
+        .max(60)
+        .describe(
+          "Reorder lead time in days (0–60) the low-stock alert assumes. The alert fires this lead plus one dose-interval before the supply runs out so a refill arrives before the last dose. Default 10; a per-medication reorderLeadDays overrides it.",
+        ),
     }),
     mood: z.object({
       reminderHour: z

src/lib/openapi/routes/settings.ts

@@ -37,6 +37,14 @@ const reminderThresholdsResponse = z
       .describe(
         "Per-user low-stock alert threshold as remaining runway days (1–60). null = the alert is off. Default 7. Written via PATCH /api/auth/me/notification-prefs.",
       ),
+    reorderLeadDays: z
+      .number()
+      .int()
+      .min(0)
+      .max(60)
+      .describe(
+        "v1.17.0 — per-user reorder lead default in days (0–60, default 10). The low-stock alert fires this lead plus one dose-interval before the supply runs out so a refill arrives before the last dose; a per-medication reorderLeadDays overrides it. Written via PATCH /api/auth/me/notification-prefs.",
+      ),
   })
   .meta({
     id: "ReminderThresholdsResponse",