Sensitive data from extra fields is visible in Edit Connection window

### Apache Airflow version

3.0.3

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

_No response_

### What happened?

After upgrading Airflow from version 3.0.2 to 3.0.3 sensitive data in extra fields and extra fields JSON is visible in edit connection page.

### What you think should happen instead?

Sensitive data should be masked with ***

### How to reproduce

Enter Edit Connection window in Airflow UI.

### Operating System

Ubuntu 24.04

### Versions of Apache Airflow Providers

_No response_

### Deployment

Other Docker-based deployment

### Deployment details

Airflow deployed with Docker Swarm.
Settings in airflow.cfg:

- hide_sensitive_var_conn_fields = True

I also added the following after realising the issue occurred::
- sensitive_var_conn_names = private_key,private_key_passphrase
However, this did not change anything.

### Anything else?

_No response_

### Are you willing to submit PR?

- [ ] 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 reproducing the issue in the Airflow UI's Edit Connection window using the reported 3.0.3 setup and the hide_sensitive_var_conn_fields and sensitive_var_conn_names settings. Check how extra fields and extra fields JSON are displayed; done means sensitive values are masked as *** in both views.

Written by the indexing model from the issue text.