FTM: Experiments - Homologate PageAPI response on Headless and Traditional

Issue:

Within a variant, if we add content scheduled for future publication, the response in the contentlets array does not match the rendered attribute. This causes a discrepancy between Headless and Traditional content.

This issue is very similar to the one we resolved in: FTM: Homologate PageAPI responses on Headless and Traditional
We likely didn’t account for experiments in that fix.

Steps to reproduce:

• Turn on Experiments, here are a little guide to goal this (The firsts paragraphs)
• Create a variant from a page
• Add to this variant a content that have a publishDate.
• Start the experiment
• Go to that variant in UVE, and select the LIVE view
• Go to future day (to try to see the future content)

More explanation in the video.

https://github.com/user-attachments/assets/7c953da4-b845-4c10-b89c-27f956494714

Start by reviewing the fix described in issue #31061, then follow the Experiments setup guide linked from issue #27565. Reproduce the variant scenario with future-dated content in UVE LIVE view, comparing the contentlets array with the rendered attribute while moving to a future day. Done means the PageAPI response matches the rendered content for both Headless and Traditional experiences when experiments are enabled.