Recovering the extension data question

Yesterday I have accidentally deleted the extension(metamask) with my imported wallet, for which I haven’t saved my private key. I went through this support page by metamask: , but unfortunately you need to have a backup of the extension files for this to work - I’ve tried searching for deleted extension files, but didn’t find them - do they completely disappear from PC or I can find them somewhere? Another way to solve this problem might be an user data backup - does Brave Browser have these somewhere?

TLDR: lost my extension data, need to recover it