fix: resolve TypeScript compilation errors in API

- Add explicit IRouter type to all route files
- Add explicit Express type to app.ts
- Fix env.ts by moving getCorsOrigins after parsing
- Fix token.ts SignOptions type for expiresIn
- Cast req.params.id to String() in controllers

Co-Authored-By: Claude Opus 4.5 <noreply@anthropic.com>

apps/api/src/config/env.ts

@@ -15,11 +15,6 @@ const envSchema = z.object({
   CORS_ORIGIN: z.string().default('http://localhost:3000'),
 });
 
-// Parse CORS origins (comma-separated) into array
-export function getCorsOrigins(): string[] {
-  return parsed.data.CORS_ORIGIN.split(',').map(origin => origin.trim());
-}
-
 const parsed = envSchema.safeParse(process.env);
 
 if (!parsed.success) {
@@ -28,3 +23,8 @@ if (!parsed.success) {
 }
 
 export const env = parsed.data;
+
+// Parse CORS origins (comma-separated) into array
+export function getCorsOrigins(): string[] {
+  return env.CORS_ORIGIN.split(',').map(origin => origin.trim());
+}