⭐ feat(infra): Migrate to serverless Lambda architecture (#291)

## Description
<!-- Briefly describe the purpose and scope of your changes -->


<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->

## Summary by CodeRabbit

- **New Features**
- Introduced serverless API and authentication endpoints, improving
scalability and reliability.
- Added rate limiting to the API, providing protection against excessive
requests and returning custom error responses.

- **Improvements**
- Simplified infrastructure for both API and authentication, reducing
complexity and improving maintainability.
- Updated resource allocations for backend services to optimize
performance and cost.

- **Bug Fixes**
- Removed unused scripts and configuration, resulting in a cleaner
development environment.

- **Other**
  - Updated type declarations to reflect new infrastructure changes.

<!-- end of auto-generated comment: release notes by coderabbit.ai -->

sst-env.d.ts

@@ -7,13 +7,16 @@ import "sst"
 declare module "sst" {
   export interface Resource {
     "Api": {
-      "service": string
-      "type": "sst.aws.Service"
+      "type": "sst.aws.Router"
+      "url": string
+    }
+    "ApiFn": {
+      "name": string
+      "type": "sst.aws.Function"
       "url": string
     }
     "Auth": {
-      "service": string
-      "type": "sst.aws.Service"
+      "type": "sst.aws.Auth"
       "url": string
     }
     "Bus": {