Can't use HIP Render Device in Blender 4.1 Flatpak on Fedora Silverblue 39

I am trying to enable discrete GPU rendering by following these steps:

Open Edit menu
Open Preferences... window (also accessible via Ctrl+, hotkey)
Open System tab
Go to Cycles Render Devices section
Select HIP option

But right now I am getting this error:

No compatible GPUs found for Cycles
Requires AMD GPU with Vega or RDNA architecture
and AMD driver version 22.10 or newer

My PC is an MSI Bravo laptop with these specs:

OS: Fedora Linux 39 (Silverblue) x86_64
Host: Bravo 15 A4DDR (REV:1.0)
Kernel: 6.8.8-200.fc39.x86_64
Packages: 2768 (rpm), 114 (flatpak)
Shell: bash 5.2.26
Display (AUOD0ED): 1920x1080 @ 120Hz [Built-in]
DE: Gnome 45.6
WM: Mutter (Wayland)
Cursor: breeze (24px)
Terminal: GNOME Terminal 3.50.1
CPU: AMD Ryzen 7 4800H (16) @ 2,90 GHz
GPU 1: AMD Radeon RX Vega 6 (Ryzen 4000/5000 Mobile Series)
GPU 2: AMD Radeon RX 5500M
Locale: en_GB.UTF-8

Both RX Vega 6 & RX 5500M comply with the requirements.

Here are terminal logs with debug commands:

$ rpm -qa "rocm*|*amd*"
amd-gpu-firmware-20240410-1.fc39.noarch
amd-ucode-firmware-20240410-1.fc39.noarch
xorg-x11-drv-amdgpu-23.0.0-2.fc39.x86_64
rocm-comgr-17.0-3.fc39.x86_64
rocm-runtime-5.7.1-1.fc39.x86_64
rocminfo-5.7.0-1.fc39.x86_64
rocm-device-libs-17.1-1.fc39.x86_64
rocm-hip-5.7.1-1.fc39.x86_64
rocm-clinfo-5.7.1-1.fc39.x86_64

$ flatpak run org.blender.Blender --version
Blender 4.1.1
    build date: 2024-04-15
    build time: 23:47:45
    build commit date: 2024-04-15
    build commit time: 15:11
    build hash: e1743a0317bc
    build platform: Linux
    build type: Release
    build c flags:  -Wall -Werror=implicit-function-declaration -Wstrict-prototypes -Werror=return-type -Werror=vla -Wmissing-prototypes -Wno-char-subscripts -Wno-unknown-pragmas -Wpointer-arith -Wunused-parameter -Wwrite-strings -Wlogical-op -Wundef -Winit-self -Wmissing-include-dirs -Wno-div-by-zero -Wtype-limits -Wformat-signedness -Wrestrict -Wno-stringop-overread -Wno-stringop-overflow -Wnonnull -Wabsolute-value -Wuninitialized -Wredundant-decls -Wshadow -Wimplicit-fallthrough=5 -Wno-error=unused-but-set-variable  -std=gnu11 -msse -pipe -fPIC -funsigned-char -fno-strict-aliasing -ffp-contract=off -msse2  
    build c++ flags:  -Wuninitialized -Wredundant-decls -Wall -Wno-invalid-offsetof -Wno-sign-compare -Wlogical-op -Winit-self -Wmissing-include-dirs -Wno-div-by-zero -Wtype-limits -Werror=return-type -Wno-char-subscripts -Wno-unknown-pragmas -Wpointer-arith -Wunused-parameter -Wwrite-strings -Wundef -Wcomma-subscript -Wformat-signedness -Wrestrict -Wno-suggest-override -Wuninitialized -Wno-stringop-overread -Wno-stringop-overflow -Wimplicit-fallthrough=5 -Wundef -Wmissing-declarations  -msse -pipe -fPIC -funsigned-char -fno-strict-aliasing -ffp-contract=off -msse2  
    build link flags:  -Wl,--version-script='/home/blender/git/blender-v410/blender.git/source/creator/symbols_unix.map'
    build system: CMake

$ cat /var/home/tsilvs/.local/share/applications/org.blender.Blender.desktop
[Desktop Entry]
Version=1.1
Type=Application
Name=Blender (flat)
GenericName=3D modeler
Comment=3D modeling, animation, rendering and post-production
Icon=org.blender.Blender
PrefersNonDefaultGPU=true
Exec=/usr/bin/flatpak run --branch=stable --arch=x86_64 --command=blender --file-forwarding org.blender.Blender @@ %f @@
Actions=
MimeType=application/x-blender;
Categories=3DGraphics;Graphics;
Keywords=3d;cg;modeling;animation;painting;sculpting;texturing;video editing;video tracking;rendering;render engine;cycles;game engine;python;
StartupWMClass=Blender

Thus I need help troubleshooting this issue to be able to render on GPU.

What I already tried:

$ sudo usermod -a -G video tsilvs
$ sudo usermod -a -G render tsilvs
$ rpm-ostree install rocminfo rocm-clinfo rocm-hip rocm-core

Sources I consulted with:

flathub / org.blender.Blender

Can't use HIP Render Device in Blender 4.1 Flatpak on Fedora Silverblue 39 #181