fix: update tracing subscriber to write JSON output to stderr #1293

Job	Run time
Builds (ubuntu-latest, x86_64-unknown-linux-musl, yes)	2m 14s
Builds (windows-latest, aarch64-pc-windows-msvc)	4m 48s
Tests (windows-latest, x86_64-pc-windows-msvc, yes)	7m 47s
Env Tests (ci-poetry-project, windows-latest, x86_64-pc-windows-msvc)	7m 20s
Env Tests (ci-poetry-global, windows-latest, x86_64-pc-windows-msvc)	5m 35s
Builds (windows-latest, x86_64-pc-windows-msvc)	4m 48s
Tests (macos-latest, x86_64-apple-darwin, yes)	11m 50s
Builds (macos-14, aarch64-apple-darwin, yes)	3m 10s
Tests in Containers (ci-jupyter-container, ubuntu-latest, mcr.microsoft.com/devcontainers/univers...	4m 38s
Builds (macos-latest, x86_64-apple-darwin, yes)	46s
Env Tests (ci-poetry-custom, ubuntu-latest, x86_64-unknown-linux-musl)	2m 46s
Env Tests (ci-poetry-project, ubuntu-latest, x86_64-unknown-linux-musl)	2m 59s
Env Tests (ci-poetry-custom, windows-latest, x86_64-pc-windows-msvc)	8m 8s
Env Tests (ci-poetry-global, ubuntu-latest, x86_64-unknown-linux-musl)	2m 40s
Tests (ubuntu-latest, x86_64-unknown-linux-musl, yes)	8m 47s
Tests in Containers (ci-homebrew-container, ubuntu-latest, homebrew/brew, x86_64-unknown-linux-musl)	3m 51s
Tests (macos-14, aarch64-apple-darwin, yes)	10m 4s
	1h 32m 11s

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