Not really that worried but rather curious about your opinions. Use what suits your demands best.
But for starters:
Electron is a framework based on Chromium used to develop desktop apps. Examples of apps that are built on Electron are Discord, Element Desktop, MS Teams, Slack, GitHub Desktop, Atom, VS Code and counting
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Both, yeah. Shortcut icon based on the favicon (or whatever the dev configures in the manifest) and a dedicated window without the URL, tab, and status bars.