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Im personally using Emanote which does exactly what you describe. It supports LaTeX and lots of other features via Pandoc. Its also very nice to use in that it supports hot-reloading, instead of requiring manual refreshing. The only downside for some might be that its installed via the Nix ecosystem which is (great but) a bit of a rabbit hole you might not want to deal with, particularly depending on your level of technicality on the computer.
I use Logseq which is very similar to Obsidian (uses markdown and saves to local HD) but has way better latex support.