[Package Issue]: Microsoft.WindowsADK.PEAddon fails with error 2148077575

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### Please confirm these before moving forward

- [x] I have searched for my issue and not found a work-in-progress/duplicate/resolved issue.
- [x] I have not been informed if the issue is resolved in a preview version of the winget client.

### Category of the issue

Installation issue.

### Brief description of your issue

Microsoft.WindowsADK.PEAddon fails with error 2148077575

### Steps to reproduce

winget install Microsoft.WindowsADK.PEAddon

### Actual behavior

C:\Users\Administrator>winget install Microsoft.WindowsADK.PEAddon
Found Windows Assessment and Deployment Kit Windows Preinstallation Environment Add-ons - Windows 10 [Microsoft.WindowsADK.PEAddon] Version 10.1.19041.1
This application is licensed to you by its owner.
Microsoft is not responsible for, nor does it grant any licenses to, third-party packages.
Successfully verified installer hash
Starting package install...
Installer failed with exit code: 2148077575

### Expected behavior

WinPEAddon should be installed successfully.

### Environment

```raw
Windows Package Manager v1.10.340
Copyright (c) Microsoft Corporation. All rights reserved.

Windows: Windows.Desktop v10.0.22631.5189
System Architecture: X64
Package: Microsoft.DesktopAppInstaller v1.25.340.0

Winget Directories
-----------------------------------------------------------------------------------------------------------------------
Logs %LOCALAPPDATA%\Packages\Microsoft.DesktopAppInstaller_8wekyb3d8bbwe\LocalState\Diag…
User Settings %LOCALAPPDATA%\Packages\Microsoft.DesktopAppInstaller_8wekyb3d8bbwe\LocalState\sett…
Portable Links Directory (User) %LOCALAPPDATA%\Microsoft\WinGet\Links
Portable Links Directory (Machine) C:\Program Files\WinGet\Links
Portable Package Root (User) %LOCALAPPDATA%\Microsoft\WinGet\Packages
Portable Package Root C:\Program Files\WinGet\Packages
Portable Package Root (x86) C:\Program Files (x86)\WinGet\Packages
Installer Downloads %USERPROFILE%\Downloads
Configuration Modules %LOCALAPPDATA%\Microsoft\WinGet\Configuration\Modules

Links
---------------------------------------------------------------------------
Privacy Statement https://aka.ms/winget-privacy
License Agreement https://aka.ms/winget-license
Third Party Notices https://aka.ms/winget-3rdPartyNotice
Homepage https://aka.ms/winget
Windows Store Terms https://www.microsoft.com/en-us/storedocs/terms-of-sale

Admin Setting State
--------------------------------------------------
LocalManifestFiles Disabled
BypassCertificatePinningForMicrosoftStore Disabled
InstallerHashOverride Disabled
LocalArchiveMalwareScanOverride Disabled
ProxyCommandLineOptions Disabled
DefaultProxy         Disabled
```

### Screenshots and Logs


**Install Logs**
Redirected URL: https://download.microsoft.com/download/058b9477-7235-48ec-a700-73c5ccf9c286/adkwinpeaddons
[0288:14AC][2025-05-28T09:07:48]i000: Resolved redirected download root: https://download.microsoft.com/download/058b9477-7235-48ec-a700-73c5ccf9c286/adkwinpeaddons/
[0288:14AC][2025-05-28T09:07:48]i000: package_WindowsPEx86x64_x86_en_us to https://download.microsoft.com/download/058b9477-7235-48ec-a700-73c5ccf9c286/adkwinpeaddons/Installers/Windows PE x86 x64-x86_en-us.msi
[0288:14AC][2025-05-28T09:07:48]i338: Acquiring package: package_WindowsPEx86x64_x86_en_us, payload: package_WindowsPEx86x64_x86_en_us, download from: https://download.microsoft.com/download/058b9477-7235-48ec-a700-73c5ccf9c286/adkwinpeaddons/Installers/Windows PE x86 x64-x86_en-us.msi
[02DC:1B08][2025-05-28T09:07:48]e000: Error 0x80091007: Hash mismatch for path: C:\ProgramData\Package Cache\.unverified\package_WindowsPEx86x64_x86_en_us, expected: A2551B8E280112FBEB6AD722CDBD3BFC07E36827, actual: 45E14889CB06CC68E87E519114A18F52827A9371
[02DC:1B08][2025-05-28T09:07:48]e000: Error 0x80091007: Failed to verify hash of payload: package_WindowsPEx86x64_x86_en_us
[02DC:1B08][2025-05-28T09:07:48]e310: Failed to verify payload: package_WindowsPEx86x64_x86_en_us at path: C:\ProgramData\Package Cache\.unverified\package_WindowsPEx86x64_x86_en_us, error: 0x80091007. Deleting file.
[02DC:1B08][2025-05-28T09:07:48]e000: Error 0x80091007: Failed to cache payload: package_WindowsPEx86x64_x86_en_us
[0288:14AC][2025-05-28T09:07:48]i000: ERROR: Failed to verify the integrity of payload [package_WindowsPEx86x64_x86_en_us] for Package package_WindowsPEx86x64_x86_en_us

Start with the Microsoft.WindowsADK.PEAddon package entry and the `winget install Microsoft.WindowsADK.PEAddon` reproduction. Compare the installer payload and hash reported in the install logs, and consider the issue resolved when the package installs successfully without a payload integrity error.

Written by the indexing model from the issue text.