Single post layout cover not working for CPT

Description

The Cover option that we have in Customize > Layout > Single Post > Header Layout is also applying for any CPTs created, but is not working well in that case ( the title and meta are not visible )

Step-by-step reproduction instructions

1. Create a CPT using Custom Post Type UI and check it on frontend https://vertis.d.pr/i/2PaKtt
2. Go to Customize > Layout > Single Post > Header Layout and change it to Cover
3. Check the CPT again -> the title is not visible anymore https://vertis.d.pr/i/ikjtME
4. In the video you can see the difference between how the Cover option is working for Posts vs CPT https://vertis.d.pr/v/yrpnu1

Screenshots, screen recording, code snippet or Help Scout ticket

It was previously reported here https://github.com/Codeinwp/neve/issues/4062 but there is another ticket
https://wordpress.org/support/topic/featured-image-cover-in-custom-post-types/

Environment info

No response

Is the issue you are reporting a regression

No

Reproduce the issue with a Custom Post Type UI CPT, then compare the frontend output for a regular post and the CPT after selecting Customize > Layout > Single Post > Header Layout > Cover. Trace the Cover layout entry point and identify the change needed so the CPT title and meta remain visible; done means both display correctly.