Move BatchLogProcessor with runtime to separate module

[cijothomas]

This makes the migration consistent with PeriodicReader as users need to enable feature-flag + add new module name.
Experimental BatchProcessor_with_runtime is moved to a separate module.

Copilot reviewed 4 out of 4 changed files in this pull request and generated no comments.

Comments suppressed due to low confidence (1)

opentelemetry-sdk/src/logs/mod.rs:16

• [nitpick] The comment should be more specific. Consider updating it to: '/// Module for BatchLogProcessor with async runtime.'

/// Module for periodic reader with async runtime.

[codecov]

Codecov Report

Attention: Patch coverage is 86.99690% with 84 lines in your changes missing coverage. Please review.

Project coverage is 76.9%. Comparing base (23f6ae2) to head (b3712e1).
Report is 1 commits behind head on main.

Files with missing lines	Patch %	Lines
...y-sdk/src/logs/log_processor_with_async_runtime.rs	86.9%	84 Missing ⚠️

Additional details and impacted files

@@           Coverage Diff           @@
##            main   #2463     +/-   ##
=======================================
+ Coverage   76.7%   76.9%   +0.1%     
=======================================
  Files        122     123      +1     
  Lines      22266   22581    +315     
=======================================
+ Hits       17093   17379    +286     
- Misses      5173    5202     +29     

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