activity-sport-type: schema, contract, write/read paths, federation

Implements the activity-sport-type change (specs/activity-sport-type):

- db: nullable `sport_type` column on journal.activities + SportType /
  SPORT_TYPES (text().$type<> convention).
- api: optional sportType on the activity read + create schemas (mirrored
  SPORT_TYPES; @trails-cool/api stays zod-only).
- write: ActivityInput + createActivity persist it; mapSportType() normalizes
  provider strings (Komoot bulk import passes tour.sport; Garmin unset);
  threaded through the unified importActivity.
- read/display: sportType added to the detail/feed/profile loaders and the v1
  REST endpoints; shared SportBadge (glyph + i18n label) on detail, feed, and
  profile; sport-aware feed verb; create-form <select>.
- i18n: journal.activities.sport.* (labels + verbs) in en + de.
- federation: `sport` PropertyValue on the Note when set.

Tests: mapSportType unit table; federation asserts the sport attachment is
present when set and omitted when unset. typecheck + lint + unit all green.
E2E (create→badge) still to add.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>

packages/api/src/activities.ts

@@ -1,10 +1,29 @@
 import { z } from "zod";
 
+/**
+ * Sport / activity type. Must stay in sync with `SPORT_TYPES` in
+ * `@trails-cool/db` (schema/journal.ts) — this package is intentionally
+ * standalone (zod only), so the wire enum is mirrored here.
+ */
+export const SPORT_TYPES = [
+  "hike",
+  "walk",
+  "run",
+  "ride",
+  "gravel",
+  "mtb",
+  "ski",
+  "other",
+] as const;
+export const SportTypeSchema = z.enum(SPORT_TYPES);
+export type SportType = z.infer<typeof SportTypeSchema>;
+
 /** Activity summary for list views */
 export const ActivitySummarySchema = z.object({
   id: z.uuid(),
   name: z.string(),
   description: z.string(),
+  sportType: SportTypeSchema.nullable(),
   routeId: z.uuid().nullable(),
   routeName: z.string().nullable(),
   distance: z.number().nullable(),
@@ -32,6 +51,7 @@ export const ActivityListResponseSchema = z.object({
 export const CreateActivityRequestSchema = z.object({
   name: z.string().min(1).max(200),
   description: z.string().max(5000).default(""),
+  sportType: SportTypeSchema.optional(),
   gpx: z.string().optional(),
   routeId: z.uuid().optional(),
   startedAt: z.iso.datetime().optional(),

packages/api/src/index.ts

@@ -47,9 +47,11 @@ export {
   ActivitySummarySchema, ActivityDetailSchema,
   ActivityListResponseSchema,
   CreateActivityRequestSchema, CreateActivityResponseSchema,
+  SPORT_TYPES, SportTypeSchema,
   type ActivitySummary, type ActivityDetail,
   type ActivityListResponse,
   type CreateActivityRequest, type CreateActivityResponse,
+  type SportType,
 } from "./activities.ts";
 
 // Uploads