Remove unused dependencies: logcaptor and nullaway (#77)

* Initial plan

* Add dependency analysis plugin to identify unused dependencies

Co-authored-by: trask <218610+trask@users.noreply.github.com>

* Remove unused dependencies: logcaptor and nullaway

Co-authored-by: trask <218610+trask@users.noreply.github.com>

* Revert dependency-analysis plugin addition from settings.gradle.kts and build.gradle.kts

Co-authored-by: trask <218610+trask@users.noreply.github.com>

---------

Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
Co-authored-by: trask <218610+trask@users.noreply.github.com>

Author: Copilot

agent/agent-tooling/build.gradle.kts

@@ -83,7 +83,6 @@ dependencies {
   testImplementation("org.assertj:assertj-core")
   testImplementation("org.awaitility:awaitility")
   testImplementation("org.mockito:mockito-core")
-  testImplementation("io.github.hakky54:logcaptor")
 
   testCompileOnly("com.google.code.findbugs:jsr305")
 }

dependencyManagement/build.gradle.kts

@@ -64,14 +64,12 @@ val CORE_DEPENDENCIES = listOf(
 val DEPENDENCIES = listOf(
   "ch.qos.logback:logback-classic:1.3.15", // logback 1.4+ requires Java 11+
   "ch.qos.logback.contrib:logback-json-classic:0.1.5",
-  "com.uber.nullaway:nullaway:0.12.7",
   "commons-codec:commons-codec:1.18.0",
   "org.apache.commons:commons-text:1.13.1",
   "com.google.code.gson:gson:2.13.1",
   "com.azure:azure-core-test:1.26.2", // this is not included in azure-sdk-bom
   "org.assertj:assertj-core:3.27.3",
   "org.awaitility:awaitility:4.3.0",
-  "io.github.hakky54:logcaptor:2.11.0",
   "io.opentelemetry.contrib:opentelemetry-jfr-connection:${otelContribVersion}-alpha",
   "io.opentelemetry.contrib:opentelemetry-runtime-attach-core:${otelContribVersion}-alpha",
   "com.google.code.findbugs:jsr305:3.0.2",