[node] Fix logging mutex crash at exit on macOS (#26445)
### Description
This change fixes a bug that causes crash on macOS (and also potentially
other platforms using libc) at `OrtReleaseEnv`.
Instead of using static variables, now they are function local static so that compiler can handle the destruction order correctly.
### Motivation and Context
Fixes #24579
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Co-authored-by: Copilot <175728472+Copilot@users.noreply.github.com>
