fix: break circular dev-dep between appender-tracing and stdout

[cijothomas]

Remove opentelemetry-stdout dev-dependency from opentelemetry-appender-tracing to break the circular dev-dep that prevents cargo publish (Cargo now validates dev-deps against the crates.io index during packaging).

Doc examples and the integration test use InMemoryLogExporter instead. The runnable example is already in examples/logs-basic/. Also fixes publish order in publish.sh.

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 82.8%. Comparing base (ec289cb) to head (43c87dc).

Additional details and impacted files

@@          Coverage Diff          @@
##            main   #3509   +/-   ##
=====================================
  Coverage   82.8%   82.8%           
=====================================
  Files        130     130           
  Lines      27289   27289           
=====================================
  Hits       22622   22622           
  Misses      4667    4667           

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