Lighten the client shell and finish four client surfaces

- Load each settings section on its own: the section route imported all
  twenty-one statically. A preload starts the chunk beside the record
  gate's read, and the loading state paints the settings card shell.
  /settings/[section] goes from 611 to 403 KB gz.
- Take Zod out of the shell every route shares: the account-access parse
  run on each boot is plain TypeScript now, held to the published schema
  by an equivalence test over good and broken blocks. The canonical unit
  table moves to its own module, so the display transform no longer
  pulls Zod in either. Layout entry 199 to 136 KB gz; /insights 369 to
  304, /medications 428 to 365, /labs 400 to 337.
- Open a saved Coach conversation at its last answer: an instant jump
  instead of the smooth scroll that lost the end, then follow late
  layout (charts, tables) for a few seconds until the reader scrolls.
- Show the document archive as a month grid of preview tiles, two
  across on a phone and three or four on a desktop, with the month
  headings kept.
- Add the admin card for the measurement table maintenance: a status
  read on the maintenance route, one calm confirmation, and the run's
  state while it is queued, running, finished or stopped.
- Re-base the bundle budget: /insights at 304, /settings/[section]
  watched at 403, aggregate cap 4335 with the reason written down.

docs/api/openapi.yaml

@@ -11106,6 +11106,23 @@ paths:
         "422": *a4
         "429": *a5
   /api/admin/maintenance/measurements:
+    get:
+      tags:
+        - Admin
+      summary: Where measurement table maintenance stands
+      description: "The newest maintenance run and its state, whether the compaction-tombstone purge is still at work, and the
+        table's size right now. The admin card polls it while a run is queued or running. Cookie auth only:
+        `requireAdmin()` refuses every Bearer caller."
+      responses:
+        "200":
+          description: The status.
+          content:
+            application/json:
+              schema:
+                $ref: "#/components/schemas/AdminMeasurementMaintenanceStatusResponse"
+        "401": *a1
+        "422": *a4
+        "429": *a5
     post:
       tags:
         - Admin
@@ -57685,6 +57702,104 @@ components:
         - data
         - error
       additionalProperties: false
+    AdminMeasurementMaintenanceStatusResponse:
+      type: object
+      properties:
+        data:
+          $ref: "#/components/schemas/AdminMeasurementMaintenanceStatus"
+        error:
+          type: "null"
+        meta:
+          type: object
+          properties:
+            requestId:
+              type: string
+          additionalProperties: false
+      required:
+        - data
+        - error
+      additionalProperties: false
+    AdminMeasurementMaintenanceStatus:
+      type: object
+      properties:
+        available:
+          type: boolean
+          description: False when there is no background queue to ask (a web-only deployment); nothing can be started then.
+        purgePending:
+          type: boolean
+          description: The compaction-tombstone purge is queued or running. A run started now finishes at once with
+            `refused_purge_running`.
+        run:
+          anyOf:
+            - type: object
+              properties:
+                state:
+                  type: string
+                  enum:
+                    - queued
+                    - running
+                    - completed
+                    - failed
+                requestedAt:
+                  type: string
+                  format: date-time
+                  pattern: ^(?:(?:\d\d[2468][048]|\d\d[13579][26]|\d\d0[48]|[02468][048]00|[13579][26]00)-02-29|\d{4}-(?:(?:0[13578]|1[02])-(?:0[1-9]|[12]\d|3[01])|(?:0[469]|11)-(?:0[1-9]|[12]\d|30)|(?:02)-(?:0[1-9]|1\d|2[0-8])))T(?:(?:[01]\d|2[0-3]):[0-5]\d(?::[0-5]\d(?:\.\d+)?)?(?:Z))$
+                startedAt:
+                  anyOf:
+                    - type: string
+                      format: date-time
+                      pattern: ^(?:(?:\d\d[2468][048]|\d\d[13579][26]|\d\d0[48]|[02468][048]00|[13579][26]00)-02-29|\d{4}-(?:(?:0[13578]|1[02])-(?:0[1-9]|[12]\d|3[01])|(?:0[469]|11)-(?:0[1-9]|[12]\d|30)|(?:02)-(?:0[1-9]|1\d|2[0-8])))T(?:(?:[01]\d|2[0-3]):[0-5]\d(?::[0-5]\d(?:\.\d+)?)?(?:Z))$
+                    - type: "null"
+                finishedAt:
+                  anyOf:
+                    - type: string
+                      format: date-time
+                      pattern: ^(?:(?:\d\d[2468][048]|\d\d[13579][26]|\d\d0[48]|[02468][048]00|[13579][26]00)-02-29|\d{4}-(?:(?:0[13578]|1[02])-(?:0[1-9]|[12]\d|3[01])|(?:0[469]|11)-(?:0[1-9]|[12]\d|30)|(?:02)-(?:0[1-9]|1\d|2[0-8])))T(?:(?:[01]\d|2[0-3]):[0-5]\d(?::[0-5]\d(?:\.\d+)?)?(?:Z))$
+                    - type: "null"
+                outcome:
+                  anyOf:
+                    - type: string
+                      enum:
+                        - completed
+                        - refused_purge_running
+                        - already_running
+                    - type: "null"
+                  description: "How a `completed` run ended: `completed` did the work, the two refusals finished without touching the
+                    table. Null for any other state."
+              required:
+                - state
+                - requestedAt
+                - startedAt
+                - finishedAt
+                - outcome
+              additionalProperties: false
+            - type: "null"
+          description: The newest run pg-boss still keeps (terminal rows live seven days), or null when there is none.
+        sizes:
+          anyOf:
+            - type: object
+              properties:
+                tableBytes:
+                  type: integer
+                  minimum: -9007199254740991
+                  maximum: 9007199254740991
+                  description: "`measurements` with its indexes and TOAST."
+                indexBytes:
+                  type: integer
+                  minimum: -9007199254740991
+                  maximum: 9007199254740991
+                  description: Its indexes alone.
+              required:
+                - tableBytes
+                - indexBytes
+              additionalProperties: false
+            - type: "null"
+      required:
+        - available
+        - purgePending
+        - run
+        - sizes
+      additionalProperties: false
     AdminMeasurementMaintenanceResponse:
       type: object
       properties: