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

public/release-manifest.json

@@ -38,28 +38,28 @@
   },
   "contractSet": {
     "setAlgorithm": "CA_CONTRACT_SET_V1",
-    "setDigest": "sha256:7a4e5ace1def727943ee39ab40904b8932db7d224f9a3fc0cc8e4c350819262b",
+    "setDigest": "sha256:5fcc7f278c09fdca2a50a65ab669039c27a0a9a1b4e56062f1309f46a7a90ab7",
     "packages": [
       {
         "packageId": "@tech-log/management-contract",
         "version": "1.0.0",
-        "digest": "sha256:446b14486291ab89b5b42d86aea1c1c7007ac40583aa98fe50d6e741d61aa1b3",
+        "digest": "sha256:c143ad3303eb05a02320940e2a0f5300a38b0c05f40b5bd5cf30960ef8004573",
         "runtimeProtocolVersion": 1,
-        "sourceRevision": "b195b29"
+        "sourceRevision": "ed04872"
       },
       {
         "packageId": "@tech-log/public-contract",
         "version": "2.1.0",
         "digest": "sha256:37e6f804165de3e492e975075bea563ee41ae74076222a3562d3452631bfdb2b",
         "runtimeProtocolVersion": 1,
-        "sourceRevision": "b195b29"
+        "sourceRevision": "ed04872"
       },
       {
         "packageId": "@tech-log/studio-contract",
         "version": "3.1.0",
         "digest": "sha256:6fc015ca6727af88b7fb0088e02ba97846e1dd79fb0d4fc593cc79f2a3b9795f",
         "runtimeProtocolVersion": 1,
-        "sourceRevision": "b195b29"
+        "sourceRevision": "ed04872"
       }
     ]
   }