refactor: 一批名不副实的命名改掉（只动一端，不碰契约）

后端：
- getUserByToken → authenticateToken：它会删会话、续 TTL、记在线，不是纯读
- todayStart → dayStart(instant)：本来就接受任意时刻，不只是「今天」
- objectValue → asRecord，删掉 4 份一模一样的私有拷贝和 `as toObject` 别名
- 报错文案 "does not exists" / "Already be a public problem" 改通顺

前端：
- utils/types 里 Contest / User / Problem 三个别名删掉：Contest 原来指后台
  比赛、契约里同名的却是学生侧。现在 Contest = 学生侧、AdminContest = 后台，
  后台用户表单叫 AdminUserForm，题目详情直接用 ProblemDetail
- SubmissionInfo → ContestSubmissionInfo，免得和 submission.info 撞名
- utoa / atou → compressToBase64 / decompressFromBase64（实际是 zlib + base64），
  encode / decode → base64EncodeUtf8 / base64DecodeUtf8
- filterResult → toProblemRow、toProblemListItem → toAdminProblemRow，
  行字段 submission / rate → submissionCount / acRate
- 组件：Modal → AddFromLibraryModal、Form → EditorToolbar、
  ContestEditor → BasicEditor（题单也在用它）、rank 的 Index → RankMedal、
  Name → UserNameCell、Password → PasswordCell、ContestType → ContestAccessTag

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>

apps/api/src/routes/content.ts

@@ -24,7 +24,7 @@ import { requireAuth, requireSuperAdmin, type AppEnv } from "../auth/middleware"
 import { db, schema } from "../db"
 import { failure, parseBody, success } from "../http"
 import { JudgeStatus } from "../judge/status"
-import { objectValue, queryInteger, sampleUser } from "./helpers"
+import { asRecord, queryInteger, sampleUser } from "./helpers"
 
 export const contentRoutes = new Hono<AppEnv>()
 
@@ -167,7 +167,7 @@ contentRoutes.get("/messages", requireAuth, async (c) => {
             // info / ip / contestId 三个字段不在 embeddedSubmissionSchema 里，故不传 ——
             // 对齐旧后端 SubmissionSafeModelSerializer 的 exclude，这三个键不出现在响应中
             language: submission.language,
-            statisticInfo: objectValue(submission.statisticInfo),
+            statisticInfo: asRecord(submission.statisticInfo),
             // 展示用题号而非数字主键，站内信页面拿它拼 /problem/<题号>
             problem: displayId,
             showLink: true,
@@ -590,7 +590,7 @@ contentRoutes.get("/tutorials/:id/exercises", async (c) => {
         ({
           id: row.id,
           type: row.type,
-          data: objectValue(row.data),
+          data: asRecord(row.data),
           order: row.order,
         }) satisfies Exercise,
     ),