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symbols-outline.nvim
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symbols-outline lists all symbols, not sure variables are shown too: have a look.
If i understand you correctly, you need like and outline, but filtered. I use this one, i think you can filter it too : https://github.com/stevearc/aerial.nvim
I use Telescope (require('telescope.builtin').lsp_document_symbols) and then I type out the word function to filter down the list of all symbols to functions only. You could probably write your own handler which filters the result of the textDocument/documentSymbol request and displays the result. Not trivial, but should not be that hard either.