fix(tours): a hike over several days reaches the router without its stage ends

The router checks its request against the strict plan point, which has no
stage_end, so every hike with a stage end was refused with "Unrecognized
key: stage_end" before a way was planned. The points go to the router with
their position, name and kind only.

server/src/nest/tours/hike-plan.service.ts

@@ -158,10 +158,17 @@ export class HikePlanService {
     preferences: HikingPreferences | null | undefined,
     grades: boolean,
   ): Promise<PlannedHike> {
+    // The router takes the points only: where a stage ends is the hike's, not the way's.
+    const waypoints = points.map(({ lat, lng, name, poi_category }) => ({
+      lat,
+      lng,
+      ...(name === undefined ? {} : { name }),
+      ...(poi_category === undefined ? {} : { poi_category }),
+    }));
     return await this.routing.plan(
       userId,
       tripId,
-      { waypoints: points, max_hiking_difficulty: limit, hiking_preferences: preferences },
+      { waypoints, max_hiking_difficulty: limit, hiking_preferences: preferences },
       { grades },
     );
   }

server/tests/unit/nest/hike-plan.mcp.test.ts

@@ -48,6 +48,7 @@ import {
   type TourPoiSearchResponse,
   type UnroutedHikePlan,
   type WeatherResult,
+  hikePlanRequestSchema,
 } from '@trek/shared';
 
 import { afterAll, beforeAll, beforeEach, describe, expect, it, vi } from 'vitest';
@@ -649,6 +650,18 @@ describe('HikePlanMcp: propose_hike', () => {
       ),
     ).rejects.toThrow('a stage ends at a stop between start and end');
   });
+
+  it('HIKE-MCP-022b: the router gets the points without their stage ends, which its strict request refuses', async () => {
+    const f = await fixture();
+    const [first, middle, last] = WAYPOINTS;
+    await mcp.proposeHike(
+      { tripId: f.trip.id, name: 'Two days', waypoints: [first, { ...middle, stage_end: true }, last] },
+      ctx(f.user.id),
+    );
+    const sent = plan.mock.calls.at(-1)?.[2];
+    expect(sent?.waypoints).toEqual(WAYPOINTS);
+    expect(hikePlanRequestSchema.safeParse(sent).success).toBe(true);
+  });
 });
 
 describe('HikePlanMcp: create_hike', () => {