[macOS] Unable to change Application Icon in Stage Manager on macOS 13.1

[HealsCodes]

Describe the bug The application icon for Kitty in Stage Manager on macOS 13.x does not reflect the actual icon. The icon shown is the default Kitty icon regardless if the user changed the application icon. This is a very minor issue, I'm only reporting it for the sake of "if you allow changing the icon it should affect all icons".

To Reproduce Steps to reproduce the behavior:

1. install kitty on a system running macOS 13.0 or later
2. change the application icon as described here
3. enable Stage Manager

Screenshots

Environment details

kitty 0.26.5 created by Kovid Goyal
Darwin Kazuki.local 22.2.0 Darwin Kernel Version 22.2.0: Fri Nov 11 02:04:44 PST 2022; root:xnu-8792.61.2~4/RELEASE_ARM64_T8103 arm64
ProductName:            macOS
ProductVersion:           13.1
BuildVersion:              22C65
Frozen: True
Paths:
  kitty: /Applications/kitty.app/Contents/MacOS/kitty
  base dir: /Applications/kitty.app/Contents/Resources/kitty
  extensions dir: /Applications/kitty.app/Contents/Resources/Python/lib/kitty-extensions
  system shell: /bin/zsh
Loaded config files:
  /Users/meeeeee/.config/kitty/kitty.conf

Config options different from defaults:
background_opacity         0.75
dynamic_background_opacity True
font_family                Comic Code Ligatures

Important environment variables seen by the kitty process:
        PATH                                /Applications/kitty.app/Contents/MacOS:/usr/bin:/bin:/usr/sbin:/sbin
        LANG                                en_US.UTF-8
        SHELL                               /bin/zsh
        USER                                meeeeee

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Additional context I am using the default kitty.conf as it ships with the brew cask for kitty.