Cannot install anything under user account without administrative permissions

Brief description of your issue

When installing under an user account without an administrative permissions, any applications requiring an elevated privileges are failed to install with Installer failed with exit code: 1223

Steps to reproduce

1. create c:\temp and give a full permissions to Users and Administrators of local Windows
2. set TMP=C:\TEMP
3. winget install onenote --source msstore
4. Confirm
5. Enter an Administrator account password

Installation is failed

Expected behavior

The application can be installed under an user account, when entering an administrative permissions

Actual behavior

Installation is failed with "Windows cannot access c:\temp\winget...\download.exe

The permission analyse shows following:
before installing, c:\temp is empty with following permissions:

PS C:\Users\alex> get-acl C:\temp | Format-list

Path : Microsoft.PowerShell.Core\FileSystem::C:\temp
Owner : BUILTIN\Administrators
Group : WINPC\alex
Access : BUILTIN\Administrators Allow FullControl
BUILTIN\Users Allow FullControl

After installing (with an error message, described above) c:\temp\winget has the following permissions:

PS C:\Users\alex> get-acl C:\temp\winget | Format-list

Path : Microsoft.PowerShell.Core\FileSystem::C:\temp\winget
Owner : WINPC\alex
Group : WINPC\alex
Access : NT AUTHORITY\SYSTEM Allow 268435456
NT AUTHORITY\SYSTEM Allow FullControl
WINPC\alex Allow 268435456
WINPC\alex Allow FullControl

Cancelling of the installation process shows this error

Environment

winget --info

Windows Package Manager (Preview) v1.4.2161-preview
Copyright (c) Microsoft Corporation. All rights reserved.

Windows: Windows.Desktop v10.0.22623.875
System Architecture: X64
Package: Microsoft.DesktopAppInstaller v1.19.2161.0

Start with the reported winget install onenote --source msstore reproduction under a non-administrative account, using the stated TMP=C:\TEMP setting and the provided ACL output. Trace the installation path that creates C:\temp\winget and downloads the installer; done means the elevated installation completes successfully after administrator credentials are entered, without the access error.