feat(FN-2991): merge fusion/fn-2991

Commits merged:
- fix(FN-2991): align failed research status badge semantics
- feat(FN-2991): add research dashboard view and navigation entry
- fix(FN-2991): complete Step 8 — resolve lint and typecheck gates
- test(FN-2991): address review feedback for Step 7
- test(FN-2991): complete Step 7 — add research store and route tests
- feat(FN-2991): complete Step 6 — add research client API helpers
- feat(FN-2991): complete Step 5 — add research REST routes
- feat(FN-2991): complete Step 4 — wire research store into core exports
- feat(FN-2991): complete Step 3 — implement research store
- feat(FN-2991): complete Step 2 — add research schema and migration
- feat(FN-2991): complete Step 1 — add research domain types

Files changed:
packages/core/src/__tests__/db.test.ts             |  26 +-
 packages/core/src/__tests__/insight-store.test.ts  |   8 +-
 packages/core/src/__tests__/mission-store.test.ts  |   2 +-
 packages/core/src/__tests__/research-store.test.ts | 118 +++++++
 packages/core/src/__tests__/roadmap-store.test.ts  |   2 +-
 packages/core/src/__tests__/run-audit.test.ts      |   2 +-
 packages/core/src/__tests__/task-documents.test.ts |   2 +-
 packages/core/src/db.ts                            |  82 ++++-
 packages/core/src/index.ts                         |  30 ++
 packages/core/src/research-store.ts                | 377 +++++++++++++++++++++
 packages/core/src/research-types.ts                | 162 +++++++++
 packages/core/src/store.ts                         |  14 +
 packages/dashboard/app/App.tsx                     |  12 +
 .../app/api/__tests__/research-api.test.ts         | 120 +++++++
 packages/dashboard/app/api/legacy.ts               | 132 +++++++-
 packages/dashboard/app/components/Header.tsx       |  23 +-
 packages/dashboard/app/components/MobileNavBar.tsx |  16 +-
 packages/dashboard/app/components/ResearchView.css | 110 ++++++
 packages/dashboard/app/components/ResearchView.tsx | 145 ++++++++
 .../app/components/__tests__/Header.test.tsx       |   4 +-
 .../app/components/__tests__/ResearchView.test.tsx | 170 ++++++++++
 packages/dashboard/app/hooks/useViewState.ts       |   3 +-
 packages/dashboard/src/research-routes.ts          | 223 ++++++++++++
 .../src/routes/register-integrated-routers.ts      |   2 +
 24 files changed, 1751 insertions(+), 34 deletions(-)

Fusion-Task-Id: FN-2991

packages/core/src/store.ts

@@ -14,6 +14,7 @@ import { MissionStore } from "./mission-store.js";
 import { PluginStore } from "./plugin-store.js";
 import { RoadmapStore } from "./roadmap-store.js";
 import { InsightStore } from "./insight-store.js";
+import { ResearchStore } from "./research-store.js";
 import { TodoStore } from "./todo-store.js";
 import { BackwardCompat, ProjectRequiredError } from "./migration.js";
 import { CentralCore } from "./central-core.js";
@@ -408,6 +409,8 @@ export class TaskStore extends EventEmitter<TaskStoreEvents> {
   private roadmapStore: RoadmapStore | null = null;
   /** Cached InsightStore instance */
   private insightStore: InsightStore | null = null;
+  /** Cached ResearchStore instance */
+  private researchStore: ResearchStore | null = null;
   /** Cached TodoStore instance */
   private todoStore: TodoStore | null = null;
 
@@ -6060,6 +6063,17 @@ ${notificationsSection}`;
     return this.insightStore;
   }
 
+  /**
+   * Get the ResearchStore instance for research run operations.
+   * Lazily initializes the ResearchStore on first access.
+   */
+  getResearchStore(): ResearchStore {
+    if (!this.researchStore) {
+      this.researchStore = new ResearchStore(this.db);
+    }
+    return this.researchStore;
+  }
+
   /**
    * Get the TodoStore instance for project-scoped todo list operations.
    * Lazily initializes the TodoStore on first access.