Since KDE Gear 22.08 `kwrite` requires `kate`. Actually, `kwrite` requires
`libkateprivate.so`, but `libkateprivate.so` is provided by `kate`.

$ zypper info --requires kwrite
-------------------------------
Repository     : openSUSE-Tumbleweed-Oss
Name           : kwrite
Version        : 22.08.0-1.1
Arch           : x86_64
Vendor         : openSUSE
Installed Size : 111.5 KiB
Installed      : No
Status         : not installed
Source package : kate-22.08.0-1.1.src
Upstream URL   : https://kate-editor.org
Summary        : KDE Text Editor
Description    :
    KWrite is a text editor by KDE.
Requires       : [16]
    libc.so.6(GLIBC_2.34)(64bit)
    libstdc++.so.6()(64bit)
    libstdc++.so.6(GLIBCXX_3.4)(64bit)
    libstdc++.so.6(GLIBCXX_3.4.11)(64bit)
    libQt5Core.so.5()(64bit)
    libQt5Core.so.5(Qt_5)(64bit)
    libQt5Core.so.5(Qt_5.15)(64bit)
    libQt5Gui.so.5()(64bit)
    libQt5Gui.so.5(Qt_5)(64bit)
    libQt5Widgets.so.5()(64bit)
    libQt5Widgets.so.5(Qt_5)(64bit)
    libKF5CoreAddons.so.5()(64bit)
    libKF5I18n.so.5()(64bit)
    libKF5DBusAddons.so.5()(64bit)
    libkateprivate.so.22.08.0()(64bit)
    kate-plugins = 22.08.0

$ zypper info --provides kate
-----------------------------
Repository     : openSUSE-Tumbleweed-Oss
Name           : kate
Version        : 22.08.0-1.1
Arch           : x86_64
Vendor         : openSUSE
Installed Size : 4.1 MiB
Installed      : No
Status         : not installed
Source package : kate-22.08.0-1.1.src
Upstream URL   : https://kate-editor.org
Summary        : Advanced Text Editor
Description    :
    Kate is an advanced text editor by KDE.
Provides       : [10]
    application()
    metainfo()
    mimehandler(text/plain)
    mimehandler(inode/directory)
    libkateprivate.so.22.08.0()(64bit)
    application(org.kde.kate.desktop)
    metainfo(org.kde.kate.appdata.xml)
    kate = 22.08.0-1.1
    kate5 = 22.08.0
    kate(x86-64) = 22.08.0-1.1

The `libkateprivate.so` can be moved to a separate package, which will help
solve this issue.