feat(09-01): add classification API route, client hook, badge component, and setup detail wiring

- Add PATCH /:id/items/:itemId/classification endpoint with Zod validation
- Add apiPatch helper to client API library
- Add useUpdateItemClassification mutation hook
- Add classification field to SetupItemWithCategory interface
- Create ClassificationBadge click-to-cycle component (base/worn/consumable)
- Wire ClassificationBadge into setup detail page item grid
- Add integration tests for PATCH classification route (valid + invalid)

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

tests/routes/setups.test.ts

@@ -205,6 +205,67 @@ describe("Setup Routes", () => {
 		});
 	});
 
+	describe("PATCH /api/setups/:id/items/:itemId/classification", () => {
+		it("updates item classification and persists it", async () => {
+			const setup = await createSetupViaAPI(app, "Kit");
+			const item = await createItemViaAPI(app, {
+				name: "Jacket",
+				categoryId: 1,
+			});
+
+			// Sync item to setup
+			await app.request(`/api/setups/${setup.id}/items`, {
+				method: "PUT",
+				headers: { "Content-Type": "application/json" },
+				body: JSON.stringify({ itemIds: [item.id] }),
+			});
+
+			// Patch classification to "worn"
+			const res = await app.request(
+				`/api/setups/${setup.id}/items/${item.id}/classification`,
+				{
+					method: "PATCH",
+					headers: { "Content-Type": "application/json" },
+					body: JSON.stringify({ classification: "worn" }),
+				},
+			);
+
+			expect(res.status).toBe(200);
+			const body = await res.json();
+			expect(body.success).toBe(true);
+
+			// Verify classification persisted
+			const getRes = await app.request(`/api/setups/${setup.id}`);
+			const getBody = await getRes.json();
+			expect(getBody.items[0].classification).toBe("worn");
+		});
+
+		it("returns 400 for invalid classification value", async () => {
+			const setup = await createSetupViaAPI(app, "Kit");
+			const item = await createItemViaAPI(app, {
+				name: "Tent",
+				categoryId: 1,
+			});
+
+			await app.request(`/api/setups/${setup.id}/items`, {
+				method: "PUT",
+				headers: { "Content-Type": "application/json" },
+				body: JSON.stringify({ itemIds: [item.id] }),
+			});
+
+			const res = await app.request(
+				`/api/setups/${setup.id}/items/${item.id}/classification`,
+				{
+					method: "PATCH",
+					headers: { "Content-Type": "application/json" },
+					body: JSON.stringify({ classification: "invalid-value" }),
+				},
+			);
+
+			expect(res.status).toBe(400);
+		});
+	});
+
 	describe("DELETE /api/setups/:id/items/:itemId", () => {
 		it("removes single item from setup", async () => {
 			const setup = await createSetupViaAPI(app, "Kit");