`Write-Host`'s `--*groundColor` doesn't work when inside an instance piped to another command

Prerequisites

• Write a descriptive title.
• Make sure you are able to repro it on the latest released version
• Search the existing issues.
• Refer to the FAQ.
• Refer to Differences between Windows PowerShell 5.1 and PowerShell.

Steps to reproduce

From outside powershell, run a powershell script that produces colours using Write-Host --ForegroundColor, and then pipe that output for further processing.

In the attached image I show

1. coloured text can be pushed through Write-Host, even if the output is processed
2. coloured text can be generated by Write-Host --*groundColor, if not post-processed
3. coloured text cannot make it out from Write-Host --*groundColor, if post-processed
4. same as test 1, but manual

Expected behavior

Colours are maintained.

Actual behavior

Colours are not maintained.

Error details

No response

Environment data

PSVersion                      7.3.4
PSEdition                      Core
GitCommitId                    7.3.4
OS                             Linux 5.10.0-19-amd64 #1 SMP Debian 5.10.149-2 (2022-10-21)
Platform                       Unix
PSCompatibleVersions           {1.0, 2.0, 3.0, 4.0…}
PSRemotingProtocolVersion      2.3
SerializationVersion           1.1.0.1
WSManStackVersion              3.0

Visuals

Reproduce the reported behavior on PowerShell 7.3.4 on Linux using Write-Host with --ForegroundColor or --BackgroundColor inside a pipeline, then compare it with unprocessed output. The issue names no source files or tests, so trace Write-Host's color handling and pipeline serialization before determining how to verify that colours are maintained after processing.