How can you manage file uploads exceeding API Gateway's 413 limits using other AWS services?

The most effective way to manage file uploads exceeding API Gateway's 413 limits is by leveraging Amazon S3 with pre-signed URLs. The workflow typically involves: 1. The client makes a small request to API Gateway (e.g., a POST request with file metadata). 2. API Gateway (integrated with a Lambda function) generates an S3 pre-signed URL for a specific S3 bucket and object key. 3. API Gateway returns this pre-signed URL to the client. 4. The client then uses the pre-signed URL to directly upload the large file to S3, bypassing API Gateway's payload limits. 5. S3 can then trigger further processing (e.g., a Lambda function via S3 event notifications) once the upload is complete.