chore(build): Migrate :dd-trace-api to Kotlin DSL

# Conflicts:
#	dd-trace-api/build.gradle

Author: bric3

dd-trace-api/build.gradle

@@ -0,0 +1,70 @@
+plugins {
+  `java-library`
+}
+
+apply(from = "$rootDir/gradle/java.gradle")
+apply(from = "$rootDir/gradle/publish.gradle")
+
+val minimumBranchCoverage by extra(0.8)
+
+// These are tested outside of this module since this module mainly just defines 'API'
+val excludedClassesCoverage by extra(
+  listOf(
+    "datadog.trace.api.ConfigDefaults",
+    "datadog.trace.api.CorrelationIdentifier",
+    "datadog.trace.api.DDSpanTypes",
+    "datadog.trace.api.DDTags",
+    "datadog.trace.api.DDTraceApiInfo",
+    "datadog.trace.api.DDTraceId",
+    "datadog.trace.api.EventTracker",
+    "datadog.trace.api.GlobalTracer*",
+    "datadog.trace.api.PropagationStyle",
+    "datadog.trace.api.TracePropagationStyle",
+    "datadog.trace.api.TracePropagationBehaviorExtract",
+    "datadog.trace.api.SpanCorrelation*",
+    "datadog.trace.api.internal.TraceSegment",
+    "datadog.trace.api.internal.TraceSegment.NoOp",
+    "datadog.trace.api.civisibility.CIVisibility",
+    "datadog.trace.api.civisibility.DDTestModule",
+    "datadog.trace.api.civisibility.noop.NoOpDDTest",
+    "datadog.trace.api.civisibility.noop.NoOpDDTestModule",
+    "datadog.trace.api.civisibility.noop.NoOpDDTestSession",
+    "datadog.trace.api.civisibility.noop.NoOpDDTestSuite",
+    "datadog.trace.api.config.ProfilingConfig",
+    "datadog.trace.api.interceptor.MutableSpan",
+    "datadog.trace.api.profiling.Profiling",
+    "datadog.trace.api.profiling.Profiling.NoOp",
+    "datadog.trace.api.profiling.ProfilingScope",
+    "datadog.trace.api.profiling.ProfilingContext",
+    "datadog.trace.api.profiling.ProfilingContextAttribute.NoOp",
+    "datadog.trace.api.llmobs.LLMObs",
+    "datadog.trace.api.llmobs.LLMObs.LLMMessage",
+    "datadog.trace.api.llmobs.LLMObs.ToolCall",
+    "datadog.trace.api.llmobs.LLMObsSpan",
+    "datadog.trace.api.llmobs.noop.NoOpLLMObsSpan",
+    "datadog.trace.api.llmobs.noop.NoOpLLMObsSpanFactory",
+    "datadog.trace.api.llmobs.noop.NoOpLLMObsEvalProcessor",
+    "datadog.trace.api.experimental.DataStreamsCheckpointer",
+    "datadog.trace.api.experimental.DataStreamsCheckpointer.NoOp",
+    "datadog.trace.api.experimental.DataStreamsContextCarrier",
+    "datadog.trace.api.experimental.DataStreamsContextCarrier.NoOp",
+    "datadog.appsec.api.blocking.*",
+    "datadog.appsec.api.user.*",
+    "datadog.appsec.api.login.*",
+    // Default fallback methods to not break legacy API
+    "datadog.trace.context.TraceScope",
+    "datadog.trace.context.NoopTraceScope.NoopContinuation",
+    "datadog.trace.context.NoopTraceScope",
+    "datadog.trace.payloadtags.PayloadTagsData",
+    "datadog.trace.payloadtags.PayloadTagsData.PathAndValue",
+    "datadog.trace.api.llmobs.LLMObsTags",
+  )
+)
+
+description = "dd-trace-api"
+
+dependencies {
+  api(libs.slf4j)
+  testImplementation(libs.guava)
+  testImplementation(project(":utils:test-utils"))
+}