ibus input method is broken for mate-panel run application

In the first scenario ibus + layout switch + .XCompose works. In the second scenario ibus + layout switch + .XCompose does NOT work.

I can start a GUI either by using alt-f2 or navigating the menu.

I am using ibus with an .XCompose file.

As an example:

I kill telegram-desktop.

I run telegram-desktop from the menu. I can switch between keyboard layouts and the .XCompose sequences work.

I kill telegram-desktop.

I run telegram-desktop from alt-f2 run dialog. I can no longer switch between keyboard layouts and the .XCompose sequences do not work.

For this second case the keyboard switch dialog shows, allows toggling to desired layout, but does not actually switch to layout, it remains on the starting layout.

Sometimes it doesn't matter how I start an app, the input method switching suddenly stops working along with various .XCompose sequences during app usage.

Input related stuff in my .bashrc:

export CLUTTER_IM_MODULE=ibus
export GTK_IM_MODULE=ibus
export QT_IM_MODULE=ibus
export XMODIFIERS=@im=ibus

ps ax|grep ibus
 373406 ? Ssl 0:13 /usr/bin/ibus-daemon -d -x -n mate -r -R
 373415 ? Sl 0:00 /usr/libexec/ibus-memconf
 373416 ? Sl 0:03 /usr/libexec/ibus-ui-gtk3
 373417 ? Sl 0:02 /usr/libexec/ibus-extension-gtk3
 373419 ? Sl 0:00 /usr/libexec/ibus-x11 --kill-daemon
 373426 ? Sl 0:00 /usr/libexec/ibus-portal
 373448 ? Sl 0:04 /usr/libexec/ibus-engine-simple
 384609 pts/0 S+ 0:00 grep ibus

ProblemType: Bug
DistroRelease: Ubuntu 22.04
Package: mate-panel 1.26.2-1
ProcVersionSignature: Ubuntu 5.15.0-41.44-generic 5.15.39
Uname: Linux 5.15.0-41-generic x86_64
NonfreeKernelModules: nvidia_modeset nvidia
ApportVersion: 2.20.11-0ubuntu82.1
Architecture: amd64
CasperMD5CheckResult: pass
CurrentDesktop: MATE
Date: Wed Jul 13 22:34:44 2022
ExecutablePath: /usr/bin/mate-panel
InstallationDate: Installed on 2021-10-22 (264 days ago)
InstallationMedia: Ubuntu-MATE 21.10 "Impish Indri" - Release amd64 (20211012)
SourcePackage: mate-panel
UpgradeStatus: Upgraded to jammy on 2022-03-31 (104 days ago)