fix(api): unblock tsc by dropping rootDir and allowing .ts imports

Running pnpm type-check inside apps/api failed before any real
error could run, blocked by two structural errors: drizzle.presi.config.ts
and scripts/generate-who-dossiers.ts are deliberately outside src/
but are matched by the include pattern, tripping TS6059 against
rootDir=src. And @mana/shared-types imports peer files with explicit
.ts extensions, which needs allowImportingTsExtensions under
moduleResolution=bundler.

Remove rootDir (we're noEmit anyway — Bun runs src/index.ts
directly, tsc is only a lint pass), drop the unused outDir, add
noEmit explicitly, and enable allowImportingTsExtensions. Type-check
now completes cleanly.

Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>

apps/api/tsconfig.json

@@ -6,8 +6,8 @@
 		"strict": true,
 		"esModuleInterop": true,
 		"skipLibCheck": true,
-		"outDir": "dist",
-		"rootDir": "src",
+		"noEmit": true,
+		"allowImportingTsExtensions": true,
 		"types": ["bun-types"]
 	},
 	"include": ["src/**/*.ts", "scripts/**/*.ts", "drizzle.*.config.ts"]