bug(material/Form Field Suffix): In Form Field suffix password input field example an extra eye icon is displayed along with the existing masking icon

### Is this a regression?

- [X] Yes, this behavior used to work in the previous version

### The previous version in which this bug was not present was

_No response_

### Description

This issue is seen in mat form field suffix password control example. When icon is masked and when we start typing in the password, we are seeing an extra eye icon before the masking icon.

Example link: https://material.angular.io/components/form-field/overview#form-field-prefix-suffix

### Reproduction

Steps to reproduce:
1. Go the example https://material.angular.io/components/form-field/overview#form-field-prefix-suffix
2. Try typing the password without unmasking the icon an extra eye icon will be displayed. If not see try clicking outside the input field and type again.
![Uploading FormFieldSuffixPasswordControlexample.PNG…]()

### Expected Behavior

It should not display that extra icon.

### Actual Behavior

When typing in the password with icon masked an extra icon is displayed.


### Environment

- Angular:
- CDK/Material:
- Browser(s):
- Operating System (e.g. Windows, macOS, Ubuntu):

Open the Form Field prefix/suffix example at the linked Angular Material URL and reproduce the password-field behavior while typing with the icon masked. Trace the example's suffix password control and verify that the completed behavior shows only the intended masking icon, without an extra eye icon.

Written by the indexing model from the issue text.