PowerShell: Powershell unable to find dotnet runtime when DOTNET_ROOT is set on Mariner

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

On Mariner, when DOTNET_ROOT is set, the dotnet runtime cannot be found. The same behavior works without issue when using Ubuntu.

echo $DOTNET_ROOT
dotnet --list-runtimes
pwsh -c "echo Hello"
mkdir -p /tmp/hostedtoolcache/dotnet
export DOTNET_ROOT=/tmp/hostedtoolcache/dotnet
dotnet --list-runtimes
pwsh -c "echo Hello"

Expected behavior

From Ubuntu

> 
> Microsoft.AspNetCore.App 7.0.3 [/usr/share/dotnet/shared/Microsoft.AspNetCore.App]
> Microsoft.NETCore.App 7.0.3 [/usr/share/dotnet/shared/Microsoft.NETCore.App]
> Hello
> Microsoft.AspNetCore.App 7.0.3 [/usr/share/dotnet/shared/Microsoft.AspNetCore.App]
> Microsoft.NETCore.App 7.0.3 [/usr/share/dotnet/shared/Microsoft.NETCore.App]
> Hello

Actual behavior

From Mariner

>
> Microsoft.AspNetCore.App 6.0.11 [/usr/share/dotnet/shared/Microsoft.AspNetCore.App]
> Microsoft.NETCore.App 6.0.11 [/usr/share/dotnet/shared/Microsoft.NETCore.App]
> Microsoft.NETCore.App 7.0.0 [/usr/share/dotnet/shared/Microsoft.NETCore.App]
> Hello
> Microsoft.AspNetCore.App 6.0.11 [/usr/share/dotnet/shared/Microsoft.AspNetCore.App]
> Microsoft.NETCore.App 6.0.11 [/usr/share/dotnet/shared/Microsoft.NETCore.App]
> Microsoft.NETCore.App 7.0.0 [/usr/share/dotnet/shared/Microsoft.NETCore.App]
> You must install .NET to run this application.
>
> App: /opt/microsoft/powershell/7/pwsh
> Architecture: x64
> App host version: 7.0.3
> .NET location: Not found
>
> Learn about runtime installation:
> https://aka.ms/dotnet/app-launch-failed
>
> Download the .NET runtime:
> https://aka.ms/dotnet-core-applaunch?missing_runtime=true&arch=x64&rid=mariner.2.0-x64&apphost_version=7.0.3

Error details

No response

Environment data

Name                           Value
----                           -----
PSVersion                      7.3.3
PSEdition                      Core
GitCommitId                    7.3.3
OS                             Linux 5.15.79.1-microsoft-standard-WSL2 #1 SMP Wed Nov 23 01:01:46 UTC 2022
Platform                       Unix
PSCompatibleVersions           {1.0, 2.0, 3.0, 4.0…}
PSRemotingProtocolVersion      2.3
SerializationVersion           1.1.0.1
WSManStackVersion              3.0

Visuals