p-colorPicker onInputClick using a button not working

[devAzer]

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Current behavior
When we are trying to trigger and open p-colorPicker using a button with onInputClick() colorpicker is not opening.
The same behavior worked on previous versions of primeng. For example I tested on primeng 9.1.3 and worked as expected. The Colorpicker is opening on button click.

Expected behavior
Colorpicker is opening while click on a button.

Minimal reproduction of the problem with instructions
https://stackblitz.com/edit/angular-ivy-dyuxka

Click on the color picker, and you can see color picker is opening correctly. If you click on the button, Color picker is not populating. That was not the case in the previous versions of primeng. The same code worked correctly with the previous versions.
Working example: https://stackblitz.com/edit/angular-jwvivn

What is the motivation / use case for changing the behavior?
To improve the user experience on our applications.

Please tell us about your environment:

• Angular version:
  v13

• PrimeNG version:
  13.3.3

• Browser: [all | Chrome XX | Firefox XX | IE XX | Safari XX | Mobile Chrome XX | Android X.X Web Browser | iOS XX Safari | iOS XX UIWebView | iOS XX WKWebView ]
  Tested on Chrome