Relay on End of Life Software (aws-sdk-go)

### Bug Description

This Software relay on at least one end-of-life library
* https://github.com/GoogleCloudPlatform/cloud-sql-proxy/blob/f537bfb1edafa3e4636e23ee2afcc7d92e42eb19/go.mod#L32

From the [origin](https://github.com/aws/aws-sdk-go):
> We previously [announced](https://aws.amazon.com/blogs/developer/announcing-end-of-support-for-aws-sdk-for-go-v1-on-july-31-2025) our end-of-support plan for AWS SDK for Go (v1).
>
> Per that announcement, as of 7/31/2025, the SDK has entered end-of-support. It will not receive further updates.
>
> We recommend that you migrate to [AWS SDK for Go v2](https://aws.github.io/aws-sdk-go-v2/docs/). For additional details as well as information on how to migrate, please refer to the linked announcement.

Please migrate to the actual version of the AWS Go SDK.

### Example code (or command)

```
// paste your code or command here
```

### Stacktrace

```bash

```

### Steps to reproduce?

Check Github repository of library and read EOL message.

### Environment

unrelated

### Additional Details

_No response_