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Running resolver locally was a good idea in 90s and still is. It's a trivial workload even for a smartwatch.

And your local resolver resolves with what?

You start from root.hints and go from there. Here is good write up https://timothya.com/blog/dns/

In 99.9% of cases installing unbound locally and pointing DNS nameserver to 127.0.0.1 would work.