Color picker default doesn't actually set the value and throws error on publishing
## Bug report

### Required System information

- Node.js version: v20
- NPM version: v10
- Strapi version: 5.6.0
- Database: SQLite
- Operating system: Windows 10 (by user) / Linux Mint 22 (@derrickmehaffy)
- Is your project Javascript or Typescript: Javascript

### Describe the bug

When creating an entry color picker already has #000000 as default value , but while publishing it throws value required.

### Steps to reproduce the behavior

1. Add a color picker in any existing collection / component.
2. Make color picker mandatory field.
3. Let it use the default `#000000` without changing it.
4. Try to save the entry.
5. See error

### Expected behavior

Since there is some default value, it should not throw an error, alternatively don't set a default value unless it's defined in the field settings.

### Screenshots

(Note the subtle difference in the text color when the "default" actually has data rather than just being a display placeholder)

![image](https://github.com/user-attachments/assets/28b164d0-e57d-4dfb-91f9-0a976cbe971f)

![image](https://github.com/user-attachments/assets/ca1de82b-1d6a-425a-811f-20f443a3f58e)


### Code snippets

N/A

### Additional context

Related to internal TID10633


