[FEATURE] Expose context_management / clear_tool_uses_20250919 config for long-running agent sessions

Preflight Checklist

• [x] I have searched existing requests and this feature hasn't been requested yet
• [x] This is a single feature request (not multiple features)

Problem Statement

See https://github.com/anthropics/claude-code/issues/44521

Proposed Solution

See https://github.com/anthropics/claude-code/issues/44521

Alternative Solutions

_No response_

Priority

High - Significant impact on productivity

Feature Category

API and model interactions

Use Case Example

_No response_

Additional Context

_No response_