Remove unused dependencies: logcaptor and nullaway

[Copilot]

Identified and removed unused dependencies to reduce maintenance burden and improve build clarity.

Changes Made

Dependencies Removed:

1. io.github.hakky54:logcaptor - Test logging capture library that was declared in both dependencyManagement/build.gradle.kts and agent/agent-tooling/build.gradle.kts but never actually used in the codebase

2. com.uber.nullaway:nullaway - Static analysis tool that was redundantly declared in dependency constraints, as it's already properly configured as a plugin in buildSrc/build.gradle.kts

Analysis Approach:

• Added com.autonomousapps.dependency-analysis plugin to systematically identify unused dependencies
• Performed comprehensive codebase analysis to verify actual usage patterns
• Examined all dependencies in the central dependency management configuration
• Validated that remaining dependencies are actively utilized across the project

Verification:

• ✅ Agent tooling compilation successful
• ✅ Agent tooling tests pass (259 tests completed)
• ✅ Complete project assembly successful (563 tasks)
• ✅ Agent jar builds successfully (~40MB final size)
• ✅ All static analysis checks pass (checkstyle, spotbugs)

Dependencies Retained:

All other dependencies in dependencyManagement/build.gradle.kts were confirmed to be actively used:

• BOMs (Jackson, OpenTelemetry, Azure SDK, Netty, JUnit, Testcontainers) provide essential version management
• Individual dependencies like commons-codec, commons-text, gson, etc. have verified usage patterns
• Existing exclusions for jackson-dataformat-xml and woodstox-core (~1.8MB) remain appropriate

The changes maintain full backward compatibility while reducing unnecessary dependencies and improving build maintainability.

Fixes #76.

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