RetroArch closes itself when launching in Vulkan rendering [AMDGPU]

### The Problem
After installing RetroArch from the Flathub i've noticed that it uses Vulkan rendering by default which is more convenient as it provides a much better performance for me, however upon running it nothing happens.

Both Steam and the package manager versions runs fine on it.

### PC Specifications

**CPU:** AMD Ryzen 7 3700X
**Graphics Card/Driver:** AMD RX 5700 XT (Sapphire Pulse model)/Using Mesa 22.0-rc2
**Linux Distribution:** ArchLinux
**RAM:** 2x8GB (16 GB total) DDR4 3200 MHz
**Linux kernel:** TkG CFS 5.16.10
**Flatpak Version:** 1.12.5

### Log from `--verbose`

> [INFO] [Config]: Loading default config.
[INFO] [Config]: Looking for config in: "/home/kayx291/.var/app/org.libretro.RetroArch/config/retroarch/retroarch.cfg".
[INFO] RetroArch 1.10.0 (Git a14dcfa)
[INFO] === Build =======================================
[INFO] CPU Model Name: AMD Ryzen 7 3700X 8-Core Processor
[INFO] Capabilities: MMX MMXEXT SSE SSE2 SSE3 SSSE3 SSE4 SSE4.2 AES AVX AVX2
[INFO] Built: Jan 20 2022
[INFO] Version: 1.10.0
[INFO] Git: a14dcfa
[INFO] =================================================
[INFO] [Input]: Found input driver: "x".
[INFO] [Environ]: SET_PIXEL_FORMAT: RGB565.
[INFO] [Core]: Version of libretro API: 1, Compiled against API: 1
[INFO] [Audio]: Set audio input rate to: 48000.00 Hz.
[INFO] [Video]: Set video size to: 960x720.
[ERROR] [Wayland]: Failed to connect to Wayland server.
[INFO] [Vulkan]: Vulkan dynamic library loaded.
[ERROR] [Vulkan]: Could not find instance extensions. Will attempt without them.
[ERROR] Failed to create Vulkan instance (-9).
[INFO] [Vulkan]: Vulkan dynamic library loaded.
[ERROR] [Vulkan]: Could not find instance extensions. Will attempt without them.
[ERROR] Failed to create Vulkan instance (-9).
[ERROR] [Vulkan]: Failed to create Vulkan context.
[WARN] Failed to bind API (#9, version 1.0) on context driver "wayland".
[WARN] Failed to bind API (#9, version 1.0) on context driver "x".
[WARN] Failed to bind API (#9, version 1.0) on context driver "egl_x".
[WARN] Failed to bind API (#9, version 1.0) on context driver "kms".
[WARN] Failed to bind API (#9, version 1.0) on context driver "gl_sdl".
[INFO] [Vulkan]: Found vulkan context: "null".
[INFO] [Vulkan]: Detecting screen resolution: 320x240.
[INFO] [Vulkan]: Using resolution 320x240.
[ERROR] [Vulkan]: Failed to get context data.
[ERROR] [Video]: Cannot open video driver ... Exiting ...
[ERROR] Fatal error received in: "video_driver_init_internal()"
[INFO] [Core]: Content ran for a total of: 00 hours, 00 minutes, 00 seconds.
[INFO] [Core]: Unloading core..
[INFO] [Core]: Unloading core symbols..

Start by reproducing the Flatpak launch with --verbose and reviewing the reported Vulkan initialization and video-driver errors on AMDGPU. Done means RetroArch launches successfully with Vulkan rendering in the affected Flatpak environment.

Written by the indexing model from the issue text.