Rename project from Re:Link to Startover

Rebrand repository from "Re:Link" to "Startover" across the codebase. Updates include package names and scopes (@relink/* -> @startover/*), import paths, Next.js transpile settings, vitest name, UI text and docs, Dockerfile and CI/workflow names, deploy scripts and repo paths, and example/production env values. Also add auth-related env vars, an apps/web .env symlink, and small formatting/typing cleanups in several TSX/TS files and tests to accommodate the rename.

packages/database/.env

@@ -1 +1 @@
-DATABASE_URL="postgresql://relink:relink_dev@localhost:5432/relink_dev"
+DATABASE_URL="postgresql://startover:startover_dev@localhost:5432/startover_dev"

packages/database/package.json

@@ -1,5 +1,5 @@
 {
-  "name": "@relink/database",
+  "name": "@startover/database",
   "version": "0.0.1",
   "private": false,
   "type": "module",

packages/database/prisma/schema.prisma

@@ -1,5 +1,5 @@
 // =============================================================================
-// Re:Link MVP - Prisma Schema
+// Startover MVP - Prisma Schema
 // =============================================================================
 // 설계 원칙:
 //   - 내부 PK: BigInt @id @default(autoincrement())

packages/database/src/index.ts

@@ -1,5 +1,5 @@
 /**
- * @relink/database - Prisma client and database utilities
+ * @startover/database - Prisma client and database utilities
  */
 
 export { createPrismaClient } from './client.js';

packages/database/src/test-helpers.ts

@@ -8,7 +8,7 @@ const SCHEMA_PATH = resolve(__dirname, '../prisma/schema.prisma');
 
 const TEST_DATABASE_URL =
   process.env['DATABASE_TEST_URL'] ??
-  'postgresql://relink:relink_test@localhost:5433/relink_test';
+  'postgresql://startover:startover_test@localhost:5433/startover_test';
 
 let testClient: PrismaClient | null = null;
 
@@ -26,10 +26,13 @@ export function getTestPrismaClient(): PrismaClient {
 }
 
 export async function setupTestDatabase(): Promise<PrismaClient> {
-  execSync(`DATABASE_URL="${TEST_DATABASE_URL}" npx prisma db push --schema="${SCHEMA_PATH}" --skip-generate --accept-data-loss`, {
-    stdio: 'pipe',
-    cwd: resolve(__dirname, '..'),
-  });
+  execSync(
+    `DATABASE_URL="${TEST_DATABASE_URL}" npx prisma db push --schema="${SCHEMA_PATH}" --skip-generate --accept-data-loss`,
+    {
+      stdio: 'pipe',
+      cwd: resolve(__dirname, '..'),
+    },
+  );
 
   const client = getTestPrismaClient();
   await client.$connect();