Attempting to fetch or push if Pageant isn't already open results in freeze

Environment

• Git Extensions 4.0.2.16100
• Build 25100ec1f7c8da8f798613da74826038af81a50e
• Git 2.38.1.windows.1
• Microsoft Windows NT 10.0.22621.0
• .NET 6.0.16
• DPI 168dpi (175% scaling)
• Microsoft.WindowsDesktop.App Versions

    Microsoft.WindowsDesktop.App 3.1.24 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]
    Microsoft.WindowsDesktop.App 5.0.12 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]
    Microsoft.WindowsDesktop.App 6.0.5 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]
    Microsoft.WindowsDesktop.App 6.0.14 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]
    Microsoft.WindowsDesktop.App 6.0.16 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]
    Microsoft.WindowsDesktop.App 7.0.5 [C:\Program Files\dotnet\shared\Microsoft.WindowsDesktop.App]

Issue description

When I attempt to do a git repository operation involving a remote such as fetch or push and Pagent isn't already running, Git Extensions freezes upon me putting in my SSH key password.

I am using PuTTY 0.76. If Pagent is already running, I do not get a freeze-up, no matter if my key has already been loaded with a password or not.

Steps to reproduce

1. Ensure that Git Extensions is configured to use PuTTY and Pagent, with a passworded SSH key.
2. Open Git Extensions with a SSH remote.
3. Pull.

Did this work in previous version of GitExtensions?

It has been broken since at least the last major version (3.x), so for years.

Diagnostics

No response