fix: home focus 경로를 계약과 맞춘다

계약이 `/api/v1/studio/home-focus` 에서 `/api/v1/studio/home/focus` 로 옮겼다 —
케밥 세그먼트가 백엔드의 AIP-122 규칙을 위반했다.

Co-Authored-By: Claude Opus 5 (1M context) <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01XEHXspz4rv5pB5wiiSsVDu

src/features/tech-log/contracts/management/canonical-source.json

@@ -1,8 +1,8 @@
 {
   "packageId": "@tech-log/management-contract",
   "version": "1.0.0",
-  "digest": "sha256:446b14486291ab89b5b42d86aea1c1c7007ac40583aa98fe50d6e741d61aa1b3",
-  "sourceRevision": "b195b29",
+  "digest": "sha256:c143ad3303eb05a02320940e2a0f5300a38b0c05f40b5bd5cf30960ef8004573",
+  "sourceRevision": "ed04872",
   "operationIds": [
     "createCaseDraft",
     "getCaseForEdit",

src/features/tech-log/contracts/management/generated.ts

@@ -841,7 +841,7 @@ export interface paths {
         patch?: never;
         trace?: never;
     };
-    "/api/v1/studio/home-focus": {
+    "/api/v1/studio/home/focus": {
         parameters: {
             query?: never;
             header?: never;

src/features/tech-log/contracts/management/management-api.openapi.yaml

@@ -4973,7 +4973,7 @@ paths:
               $ref: '#/components/schemas/ExpectedVersionRequest'
       security:
       - sessionCookie: []
-  /api/v1/studio/home-focus:
+  /api/v1/studio/home/focus:
     get:
       operationId: getHomeFocus
       tags:

src/features/tech-log/contracts/public/canonical-source.json

@@ -2,7 +2,7 @@
   "packageId": "@tech-log/public-contract",
   "version": "2.1.0",
   "digest": "sha256:37e6f804165de3e492e975075bea563ee41ae74076222a3562d3452631bfdb2b",
-  "sourceRevision": "b195b29",
+  "sourceRevision": "ed04872",
   "operationIds": [
     "getPublicSite",
     "getPublicHome",

src/features/tech-log/contracts/studio/canonical-source.json

@@ -2,7 +2,7 @@
   "packageId": "@tech-log/studio-contract",
   "version": "3.1.0",
   "digest": "sha256:6fc015ca6727af88b7fb0088e02ba97846e1dd79fb0d4fc593cc79f2a3b9795f",
-  "sourceRevision": "b195b29",
+  "sourceRevision": "ed04872",
   "operationIds": [
     "getStudioSession",
     "getStudioDashboard",

src/features/tech-log/contracts/tech-log-management-contract-contribution.ts

@@ -342,11 +342,11 @@ const HTTP_CONTRACTS = Object.freeze([
       });
     },
   ),
-  readOperation("getHomeFocus", `${D}/home-focus`, 8_192),
+  readOperation("getHomeFocus", `${D}/home/focus`, 8_192),
   writeOperation(
     "updateHomeFocus",
     "PUT",
-    `${D}/home-focus`,
+    `${D}/home/focus`,
     { acceptedStatuses: [200], requestByteLimit: 4_096, responseByteLimit: 8_192 },
     (input: never) =>
       Object.freeze({ pathValues: NO_PATH, queryEntries: NO_QUERY, body: input }),