[Bug 51957] New: Program started via HKLM\Software\Microsoft\Windows\CurrentVersion\App Paths should also be started if extension ".exe" is missing

[WineHQ Bugzilla]

https://bugs.winehq.org/show_bug.cgi?id=51957

Bug ID: 51957
           Summary: Program started via
                    HKLM\Software\Microsoft\Windows\CurrentVersion\App
                    Paths should also be started if extension ".exe" is
                    missing
           Product: Wine
           Version: 6.19
          Hardware: x86-64
                OS: Linux
            Status: NEW
          Keywords: source
          Severity: normal
          Priority: P2
         Component: shell32
          Assignee: [e-mail]
          Reporter: [e-mail]
      Distribution: ---

Created attachment 70937
  --> https://bugs.winehq.org/attachment.cgi?id=70937
possible patch

Hi,

I found this as installer of adobe digital editions is failing in chocolatey.

First autohotkey is installed, i guess to press some button from license
agreement.

After that script tries to install adobe digital editions but fails at a line:

$ahkProc = Start-Process -FilePath 'AutoHotKey' `
    -ArgumentList $ahkRun `
    -PassThru

Autohotkey is never started as this fails. I tested on windows and then both:

Start-Process -FilePath 'AutoHotKey'
and
Start-Process -FilePath 'AutoHotKey.exe'
succeed.

In wine only the last one succeeds.

Attached a patch that fixes this; Maybe needs more error checking?
Hints for improvement welcome;

Additional note: due to install-script for autohotkey following key is present:

[HKEY_LOCAL_MACHINE\Software\Microsoft\Windows\CurrentVersion\App
Paths\AutoHotkey.exe]
@="C:\Program Files\AutoHotkey\AutoHotkey.exe"