Here's what I have for (I think!) the game log:

System Info:
Heroic Version: 2.5.0 Yamato
Legendary Version:  0.20.31 Dark Energy (hotfix #5)
GOGdl Version: 0.5
OS: Freedesktop SDK KERNEL: 5.13.0-valve21.3-1-neptune ARCH: x64
CPU: AMD Custom APU 0405 @2.6 GOVERNOR: schedutil
RAM: Total: 11.54 GiB Available: 8.66 GiB
GRAPHICS: GPU0: VanGogh [AMD Custom GPU 0405] VRAM: 512MB  
PROTOCOL: x11

Game Settings: {
	"autoInstallDxvk": false,
	"autoInstallVkd3d": false,
	"preferSystemLibs": false,
	"nvidiaPrime": false,
	"enviromentOptions": [],
	"wrapperOptions": [],
	"showFps": false,
	"showMangohud": false,
	"useGameMode": false,
	"useSteamRuntime": false,
	"language": "",
	"wineVersion": {
		"bin": "/home/deck/.local/share/Steam/compatibilitytools.d/GE-Proton7-41/proton",
		"name": "Proton - GE-Proton7-41",
		"type": "proton"
	},
	"winePrefix": "/home/deck/Games/Heroic/Prefixes/Middle-earth Shadow of Mordor Game of the Year Edition"
}

Game launched at: Sat Dec 03 2022 16:37:06 GMT-0500 (Eastern Standard Time)

Launch Command: STEAM_COMPAT_CLIENT_INSTALL_PATH=/home/deck/.var/app/com.heroicgameslauncher.hgl/.steam/steam STEAM_COMPAT_DATA_PATH="/home/deck/Games/Heroic/Prefixes/Middle-earth Shadow of Mordor Game of the Year Edition" PROTON_NO_ESYNC=1 PROTON_NO_FSYNC=1 STEAM_COMPAT_APP_ID=0 SteamAppId=0 SteamGameId="heroic-Shadow of Mordor" PROTON_LOG_DIR=/home/deck/.var/app/com.heroicgameslauncher.hgl /app/bin/heroic/resources/app.asar.unpacked/build/bin/linux/gogdl launch "/home/deck/Games/Heroic/Shadow of Mordor" 1213504814 --no-wine --wrapper "'/home/deck/.local/share/Steam/compatibilitytools.d/GE-Proton7-41/proton' run" --platform windows

Game Log:
wineserver: using server-side synchronization.
wine: RLIMIT_NICE is <= 20, unable to use setpriority safely
[S_API] SteamAPI_Init(): SteamAPI_IsSteamRunning() did not locate a running instance of Steam.
[S_API FAIL] SteamAPI_Init() failed
Launch command: ['/home/deck/.local/share/Steam/compatibilitytools.d/GE-Proton7-41/proton', 'run', '/home/deck/Games/Heroic/Shadow of Mordor/x64/ShadowOfMordor.exe']