chore: Nit fixes to log appender example

[cijothomas]

Fix incorrect comment.
Use simple processor, like any other basic examples.
Add Resource

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 80.8%. Comparing base (3b2f751) to head (5b1fb3c).
⚠️ Report is 1 commits behind head on main.

Additional details and impacted files

@@          Coverage Diff          @@
##            main   #3202   +/-   ##
=====================================
  Coverage   80.8%   80.8%           
=====================================
  Files        128     128           
  Lines      23090   23090           
=====================================
  Hits       18676   18676           
  Misses      4414    4414           

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