Feature request: wt.exe should display shortcut icon in taskbar

Description of the new feature/enhancement

With a shortcut I can assign a wt.exe configuration per shortcut. But when the shortcut is run the wt.exe icon is shown not the shortcut icon.

This makes it hard to choose configurations short of opening each wt.exe window.

cmd.exe is an example of doing this well, it displays the icon of the shortcut when it is run. And each shortcut gets their own icon set in the taskbar for all windows started with that shortcut.

This would make it easy to set up specialized configs of wt.exe and be able to navigate between them easily.

This is similar to:

• #1871, but is not required to be dynamic.
• #1868, but is not about changing any escape sequences

cmd.exe example

cmd.exe essentially has this feature. This should be able to be replicated by the Windows Terminal?

Create a shortcut1, target: C:\Windows\System32\cmd.exe
Add it's own icon. (Icon1)

Create a shortcut2 target: C:\Windows\System32\cmd.exe
Add it's own icon. (Icon2)

1. Start shortcut1, Icon1 displays in the taskbar.
2. Start shortcut2, Icon2 displays in the taskbar even though it is just a 2nd instance of cmd.exe.

Here is a screenshot:

What you are looking at:
2 separate cmd.exe sessions on the left & 2 different bash.exe sessions on the right. Each with their own taskbar icon. Very easy to choose the right session from the taskbar.

Start with the Windows Terminal taskbar behavior described in this issue and compare it with the provided cmd.exe shortcut example. Verify how separate shortcuts targeting wt.exe should display distinct icons and group windows, with the shortcut icon remaining visible for navigation; related issues #1871 and #1868 provide context.