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Need one Windows program and can't get it running under Wine
You've got several problems happening here, but the ones causing the app to just "not load" are sandbox related.
02a0:err:ole:com_get_class_object class {7ab36653-1796-484b-bdfa-e74f1db7c1dc} not registered: This is related to an attempt to use spellcheck in the app itself: https://strontic.github.io/xcyclopedia/library/clsid_7AB36653-1796-484B-BDFA-E74F1DB7C1DC.html
023c:err:ole:com_get_class_object class {aa509086-5ca9-4c25-8f95-589d3c07b48a} not registered: This is a WinRT API thing. Both of these are core Windows libraries that electron is trying to use. Would recommend making sure your wine settings are mirroring what would be required for a chrome emulation. See: https://strontic.github.io/xcyclopedia/library/clsid_aa509086-5ca9-4c25-8f95-589d3c07b48a.html
The real issue that nothing loads is the network sandbox. Additionally, it's unable to access the GPU from the sandbox. You can try a few things:
wine /path/to/your/app.exe --no-sandbox
wine /path/to/your/app.exe --disable-gpu --no-sandbox <-- only software rendering, not ideal for performance, but may be fine
WINEDLLOVERRIDES="libglesv2.dll=d" wine /path/to/your/app.exe --disable-gpu --no-sandbox <--- overrides the default GL implementation for compatibility
Additionally, FireQ has a web-browser only version -- can you actually do what you need to do without the native app from their cloud version and just run a web browser? Completely kill the need for the app.
And finally: how are you configuring wine and running it? I'd recommend checking out something like bottles to manage individual settings on a per-app basis for wine: https://usebottles.com/