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Many frameworks solve this with logger context. Add the properties you want to the logging context and all future logs in that context will have that property.

One simple example - Serilog enrichment https://github.com/serilog/serilog/wiki/Enrichment

This does however assume your entire application uses the same logger. But this is generally a requirement in services that require tracing like this.

Nodejs now has async local storage built in, which makes this fairly easy.

For example: https://github.com/puzpuzpuz/cls-rtracer

You can stick it in a middleware which wraps the request lifecycle.