feat: 实现产品/项目/版本三大模块完整功能

- 产品列表：拖拽排序持久化、编辑弹窗、删除校验（活跃版本需迁移）
- 项目列表：新建项目表单（产品选择+重名校验）、产品筛选、版本归属修复
- 版本列表：新建版本表单（迭代类型自动生成版本号）、状态/项目筛选、倒序排列
- 项目详情页：概览统计、人员墙（参与次数）、版本时间线（阶段流水线+进度条）
- 全局优化：筛选栏统一为header下方固定行、按钮颜色改为主题蓝、API探测300ms、store缓存
- 数据持久化到localStorage，支持离线开发

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

apps/web/lib/derive.ts

@@ -0,0 +1,98 @@
+import { VersionStatus } from './version-status';
+import type { Stage, Role } from './stage';
+
+interface VersionMember {
+  role: Role;
+  name: string;
+}
+
+interface RoleProgress {
+  role: Role;
+  percent: number;
+  daysSpent: number;
+}
+
+interface ProductOverviewLike {
+  id: string;
+  name: string;
+  projects: { id: string; name: string; description: string; createdAt: string }[];
+  versions: {
+    id: string; name: string; status?: string; releaseDate: string | null; createdAt: string;
+    currentStage?: Stage; startDate?: string | null; expectedReleaseDate?: string | null;
+    members?: VersionMember[]; progress?: RoleProgress[];
+  }[];
+}
+
+export interface ProjectWithContext {
+  id: string;
+  name: string;
+  description: string;
+  createdAt: string;
+  productId: string;
+  productName: string;
+  versions: VersionWithContext[];
+}
+
+export interface VersionWithContext {
+  id: string;
+  name: string;
+  status: VersionStatus;
+  releaseDate: string | null;
+  createdAt: string;
+  productId: string;
+  productName: string;
+  projectName: string;
+  currentStage?: Stage;
+  startDate?: string | null;
+  expectedReleaseDate?: string | null;
+  members?: VersionMember[];
+  progress?: RoleProgress[];
+}
+
+export function flattenProjects(overview: ProductOverviewLike[]): ProjectWithContext[] {
+  const result: ProjectWithContext[] = [];
+  for (const product of overview) {
+    for (const project of product.projects) {
+      const versions = product.versions
+        .filter((v) => v.name.toLowerCase().startsWith(project.name.toLowerCase()))
+        .map((v) => ({
+          ...v,
+          status: (v.status || 'released') as VersionStatus,
+          productId: product.id,
+          productName: product.name,
+          projectName: project.name,
+        }));
+      result.push({
+        ...project,
+        productId: product.id,
+        productName: product.name,
+        versions,
+      });
+    }
+  }
+  return result;
+}
+
+export function flattenVersions(overview: ProductOverviewLike[]): VersionWithContext[] {
+  const result: VersionWithContext[] = [];
+  for (const product of overview) {
+    for (const version of product.versions) {
+      const project = product.projects.find((p) =>
+        version.name.toLowerCase().startsWith(p.name.toLowerCase()),
+      );
+      result.push({
+        ...version,
+        status: (version.status || 'released') as VersionStatus,
+        productId: product.id,
+        productName: product.name,
+        projectName: project?.name || '未关联',
+      });
+    }
+  }
+  return result;
+}
+
+export function getProjectDetail(overview: ProductOverviewLike[], projectId: string): ProjectWithContext | null {
+  const projects = flattenProjects(overview);
+  return projects.find((p) => p.id === projectId) || null;
+}