EKSPodOperator doesnt use AWS Connection

### Apache Airflow version

2.11.0

### If "Other Airflow 2/3 version" selected, which one?

_No response_

### What happened?

Tried using an AWS Connection with EKSPodOperator and it didn't work. Tried setting the environment vars and it did work.

### What you think should happen instead?

Using an AWS Connection should work for the EKSPodOperator

### How to reproduce

Set up and AWS EKS connection.
Try using EKSPodOperator

### Operating System

Mac

### Versions of Apache Airflow Providers

_No response_

### Deployment

Official Apache Airflow Helm Chart

### Deployment details

Nothing relevant.

### Anything else?

_No response_

### Are you willing to submit PR?

- [x] Yes I am willing to submit a PR!

### Code of Conduct

- [x] I agree to follow this project's [Code of Conduct](https://github.com/apache/airflow/blob/main/CODE_OF_CONDUCT.md)

Start by locating EKSPodOperator and the AWS Connection handling it uses, then compare that path with the environment-variable configuration described in the report. Reproduce the issue with an AWS EKS connection and the official Apache Airflow Helm Chart; done means EKSPodOperator works without requiring AWS environment variables.

Written by the indexing model from the issue text.