[Package Issue]: Betterbird.Betterbird is installed twice

Nobody has claimed this yet.

### 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

Multiple installed packages found.

### Brief description of your issue

When I started Betterbird, it announces that a new Version is installed.
```
Startpage - Welcome!
Welcome to Betterbird version 140.12.0. Simply better.
Build details: os=WINNT, locale=en-GB, version=140.12.0, buildid=2026-06-13 02:53:01.
New version available. Please download from [here](https://www.betterbird.eu/downloads/).
```
When I checked in Control Panel, it shows that I have two Versions installed on the same location 😮

When I checked in winget, it shows that I have two Versions installed, too.
```
C:\>winget list Betterbird.Betterbird
Name ID Version Quelle
----------------------------------------------------------
Betterbird (x64 de) Betterbird.Betterbird 140.13.0 winget
Betterbird (x64 de) Betterbird.Betterbird 140.12.0 winget
```

What do I need to do to solve the issue?
a) Uninstall one Package
b) Delete anything in the registry
c) Other

### Steps to reproduce

1. `winget list Betterbird.Betterbird`
2. `winget search Betterbird.Betterbird`

### Actual behavior

`winget list Betterbird.Betterbird` shows that two Versions are installed.
```
C:\>winget list Betterbird.Betterbird
Name ID Version Quelle
----------------------------------------------------------
Betterbird (x64 de) Betterbird.Betterbird 140.13.0 winget
Betterbird (x64 de) Betterbird.Betterbird 140.12.0 winget
```

### Expected behavior

`winget list Betterbird.Betterbird` shows that one Version is installed.
```
C:\>winget list Betterbird.Betterbird
Name ID Version Quelle
----------------------------------------------------------
Betterbird (x64 de) Betterbird.Betterbird 140.13.0 winget
```

### Environment

```raw
Windows Package Manager v1.29.280
Windows: Windows.Desktop v10.0.26200.8655
Systemarchitektur: X64
Package: Microsoft.DesktopAppInstaller v1.29.280.0
```

### Screenshots and Logs

Start by reproducing the reported `winget list Betterbird.Betterbird` and `winget search Betterbird.Betterbird` results in the stated Windows Package Manager environment. Inspect how the Betterbird.Betterbird package is represented and how installed versions are detected; done means the current installation appears once in `winget list`.

Written by the indexing model from the issue text.