chore: update .gitignore and improve coding standards documentation

- Added .cursor/sessions/* to .gitignore to prevent session files from being tracked.
- Enhanced coding standards in SKILL.md by adding semicolons to TypeScript examples for consistency.
- Improved formatting in continuous learning, detail layout, and other SKILL.md files for better readability.

These changes aim to streamline development processes and maintain code quality across the project.

.cursor/agents/tdd-guide.md

@@ -19,18 +19,18 @@ You are a Test-Driven Development (TDD) specialist. This repo uses **Vitest** (a
 ### Step 1: Write the test first (RED)
 
 ```typescript
-import { describe, it, expect } from 'vitest'
-import { createFullPageSchema } from './full-page.validator'
+import { describe, it, expect } from 'vitest';
+import { createFullPageSchema } from './full-page.validator';
 
 describe('createFullPageSchema', () => {
-  const t = (key: string) => key
+  const t = (key: string) => key;
 
   it('rejects an empty code', () => {
-    const schema = createFullPageSchema(t)
-    const result = schema.safeParse({ code: '', name: 'Widget' })
-    expect(result.success).toBe(false)
-  })
-})
+    const schema = createFullPageSchema(t);
+    const result = schema.safeParse({ code: '', name: 'Widget' });
+    expect(result.success).toBe(false);
+  });
+});
 ```
 
 ### Step 2: Run it (must FAIL)
@@ -47,7 +47,7 @@ export const createFullPageSchema = (t: (key: string) => string) =>
   z.object({
     code: compose(z.string(), required(t('common:fields.code'))),
     name: compose(z.string(), required(t('common:fields.name')), rangeLength(3, 50, t('common:fields.name'))),
-  })
+  });
 ```
 
 ### Step 4: Run until green, then refactor. Coverage via `pnpm test` / `pnpm check:all`.
@@ -65,7 +65,7 @@ Mock `@repo/core-api` and `apiClient` — not a database.
 ```ts
 vi.mock('@repo/core-api/http-client', () => ({
   createHttpClient: () => ({ get: vi.fn(), post: vi.fn(), put: vi.fn(), delete: vi.fn() }),
-}))
+}));
 ```
 
 ## Edge cases you MUST test