Track 1: Implement Anthropic Batch API Integration (50% cost savings)

[silversurfer562]

Objective

Enable Anthropic's Batch API for non-urgent tasks to achieve 50% cost reduction.

Implementation Tasks

• Add AnthropicBatchProvider class to empathy_llm_toolkit/providers.py
• Add batch-eligible task identification to src/empathy_os/models/tasks.py
• Create src/empathy_os/workflows/batch_processing.py
• Add CLI command for batch processing
• Add tests in tests/unit/providers/test_batch_api.py
• Update documentation

Success Criteria

• Batch API client implemented and tested
• Successfully process 100+ task batch
• Verify 50% cost reduction via telemetry
• 80%+ test coverage

Expected Impact

• Cost Reduction: 50% for batch-eligible tasks
• Timeline: Week 1-2
• Priority: HIGH

Reference

See detailed implementation plan in docs/ANTHROPIC_OPTIMIZATION_PLAN.md - Track 1