Sorry for the late reply, I thought I had already sent it :)
The default should be detailed so you should get the stack trace in a key of "exception". I used pretty printing for my example so it's easier to read:
{
  "timestamp": "2026-04-10T10:01:57.117-07:00",
  "sequence": 110,
  "loggerClassName": "org.jboss.logging.Logger",
  "loggerName": "dev.resteasy.examples.resources.ErrorResource",
  "level": "ERROR",
  "message": "Logged error with stack trace",
  "threadName": "default task-2",
  "threadId": 380,
  "mdc": {
  },
  "ndc": "",
  "hostName": "stalefish",
  "processName": "/usr/lib/jvm/java-25-openjdk/bin/java",
  "processId": 2904098,
  "exception": {
    "refId": 1,
    "exceptionType": "java.lang.RuntimeException",
    "message": "Created for testing",
    "frames": [
      {
        "class": "dev.resteasy.examples.resources.ErrorResource",
        "method": "produceStackTrace",
        "line": 37
      },
      {
        "class": "dev.resteasy.examples.resources.ErrorResource$Proxy$_$$_WeldClientProxy",
        "method": "produceStackTrace"
      },
      {
        "class": "jdk.internal.reflect.DirectMethodHandleAccessor",
        "method": "invoke",
        "line": 104
      },
      {
        "class": "java.lang.reflect.Method",
        "method": "invoke",
        "line": 565
      },
      {
        "class": "org.jboss.resteasy.core.MethodInjectorImpl",
        "method": "invoke",
        "line": 154
      },
      {
        "class": "org.jboss.resteasy.core.MethodInjectorImpl",
        "method": "invoke",
        "line": 118
      },
      {
        "class": "org.jboss.resteasy.core.ResourceMethodInvoker",
        "method": "internalInvokeOnTarget",
        "line": 560
      },
      {
        "class": "org.jboss.resteasy.core.ResourceMethodInvoker",
        "method": "invokeOnTargetAfterFilter",
        "line": 452
      },
      {
        "class": "org.jboss.resteasy.core.ResourceMethodInvoker",
        "method": "lambda$invokeOnTarget$2",
        "line": 413
      },
      {
        "class": "org.jboss.resteasy.core.interception.jaxrs.PreMatchContainerRequestContext",
        "method": "filter",
        "line": 321
      },
      {
        "class": "org.jboss.resteasy.core.ResourceMethodInvoker",
        "method": "invokeOnTarget",
        "line": 415
      },
      {
        "class": "org.jboss.resteasy.core.ResourceMethodInvoker",
        "method": "invoke",
        "line": 378
      },
      {
        "class": "org.jboss.resteasy.core.ResourceMethodInvoker",
        "method": "invoke",
        "line": 356
      },
      {
        "class": "org.jboss.resteasy.core.ResourceMethodInvoker",
        "method": "invoke",
        "line": 70
      },
      {
        "class": "org.jboss.resteasy.core.SynchronousDispatcher",
        "method": "invoke",
        "line": 429
      },
      {
        "class": "org.jboss.resteasy.core.SynchronousDispatcher",
        "method": "lambda$invoke$4",
        "line": 240
      },
      {
        "class": "org.jboss.resteasy.core.SynchronousDispatcher",
        "method": "lambda$preprocess$0",
        "line": 154
      },
      {
        "class": "org.jboss.resteasy.core.interception.jaxrs.PreMatchContainerRequestContext",
        "method": "filter",
        "line": 321
      },
      {
        "class": "org.jboss.resteasy.core.SynchronousDispatcher",
        "method": "preprocess",
        "line": 157
      },
      {
        "class": "org.jboss.resteasy.core.SynchronousDispatcher",
        "method": "invoke",
        "line": 229
      },
      {
        "class": "org.jboss.resteasy.plugins.server.servlet.ServletContainerDispatcher",
        "method": "service",
        "line": 222
      },
      {
        "class": "org.jboss.resteasy.plugins.server.servlet.HttpServletDispatcher",
        "method": "service",
        "line": 55
      },
      {
        "class": "org.jboss.resteasy.plugins.server.servlet.HttpServletDispatcher",
        "method": "service",
        "line": 51
      },
      {
        "class": "jakarta.servlet.http.HttpServlet",
        "method": "service",
        "line": 614
      },
      {
        "class": "io.undertow.servlet.handlers.ServletHandler",
        "method": "handleRequest",
        "line": 74
      },
      {
        "class": "io.undertow.servlet.handlers.security.ServletSecurityRoleHandler",
        "method": "handleRequest",
        "line": 62
      },
      {
        "class": "io.undertow.servlet.handlers.ServletChain$1",
        "method": "handleRequest",
        "line": 68
      },
      {
        "class": "io.undertow.servlet.handlers.ServletDispatchingHandler",
        "method": "handleRequest",
        "line": 36
      },
      {
        "class": "org.wildfly.elytron.web.undertow.server.ElytronRunAsHandler",
        "method": "lambda$handleRequest$1",
        "line": 68
      },
      {
        "class": "org.wildfly.security.auth.server.FlexibleIdentityAssociation",
        "method": "runAsFunctionEx",
        "line": 103
      },
      {
        "class": "org.wildfly.security.auth.server.Scoped",
        "method": "runAsFunctionEx",
        "line": 161
      },
      {
        "class": "org.wildfly.security.auth.server.Scoped",
        "method": "runAs",
        "line": 73
      },
      {
        "class": "org.wildfly.elytron.web.undertow.server.ElytronRunAsHandler",
        "method": "handleRequest",
        "line": 67
      },
      {
        "class": "io.undertow.servlet.handlers.RedirectDirHandler",
        "method": "handleRequest",
        "line": 68
      },
      {
        "class": "io.undertow.servlet.handlers.security.SSLInformationAssociationHandler",
        "method": "handleRequest",
        "line": 117
      },
      {
        "class": "io.undertow.servlet.handlers.security.ServletAuthenticationCallHandler",
        "method": "handleRequest",
        "line": 57
      },
      {
        "class": "io.undertow.server.handlers.PredicateHandler",
        "method": "handleRequest",
        "line": 43
      },
      {
        "class": "io.undertow.security.handlers.AbstractConfidentialityHandler",
        "method": "handleRequest",
        "line": 46
      },
      {
        "class": "io.undertow.servlet.handlers.security.ServletConfidentialityConstraintHandler",
        "method": "handleRequest",
        "line": 64
      },
      {
        "class": "io.undertow.security.handlers.AbstractSecurityContextAssociationHandler",
        "method": "handleRequest",
        "line": 43
      },
      {
        "class": "org.wildfly.elytron.web.undertow.server.servlet.CleanUpHandler",
        "method": "handleRequest",
        "line": 38
      },
      {
        "class": "io.undertow.server.handlers.PredicateHandler",
        "method": "handleRequest",
        "line": 43
      },
      {
        "class": "org.wildfly.extension.undertow.deployment.ControlPointDeploymentInfoConfigurator$ControlPointRequestAttributeHandler",
        "method": "handleRequest",
        "line": 175
      },
      {
        "class": "org.wildfly.extension.undertow.security.jacc.JACCContextIdHandler",
        "method": "handleRequest",
        "line": 44
      },
      {
        "class": "io.undertow.server.handlers.PredicateHandler",
        "method": "handleRequest",
        "line": 43
      },
      {
        "class": "io.undertow.servlet.handlers.SendErrorPageHandler",
        "method": "handleRequest",
        "line": 52
      },
      {
        "class": "io.undertow.server.handlers.PredicateHandler",
        "method": "handleRequest",
        "line": 43
      },
      {
        "class": "io.undertow.servlet.handlers.ServletInitialHandler",
        "method": "handleFirstRequest",
        "line": 271
      },
      {
        "class": "io.undertow.servlet.handlers.ServletInitialHandler$1",
        "method": "call",
        "line": 130
      },
      {
        "class": "io.undertow.servlet.handlers.ServletInitialHandler$1",
        "method": "call",
        "line": 127
      },
      {
        "class": "io.undertow.servlet.core.ServletRequestContextThreadSetupAction$1",
        "method": "call",
        "line": 48
      },
      {
        "class": "io.undertow.servlet.core.ContextClassLoaderSetupAction$1",
        "method": "call",
        "line": 43
      },
      {
        "class": "org.wildfly.extension.undertow.deployment.ControlPointDeploymentInfoConfigurator$1",
        "method": "call",
        "line": 100
      },
      {
        "class": "org.wildfly.extension.undertow.deployment.UndertowDeploymentInfoService$UndertowThreadSetupAction",
        "method": "lambda$create$0",
        "line": 1431
      },
      {
        "class": "org.wildfly.extension.undertow.deployment.UndertowDeploymentInfoService$UndertowThreadSetupAction",
        "method": "lambda$create$0",
        "line": 1431
      },
      {
        "class": "org.wildfly.extension.undertow.deployment.UndertowDeploymentInfoService$UndertowThreadSetupAction",
        "method": "lambda$create$0",
        "line": 1431
      },
      {
        "class": "org.wildfly.extension.undertow.deployment.UndertowDeploymentInfoService$UndertowThreadSetupAction",
        "method": "lambda$create$0",
        "line": 1431
      },
      {
        "class": "io.undertow.servlet.handlers.ServletInitialHandler",
        "method": "dispatchRequest",
        "line": 251
      },
      {
        "class": "io.undertow.servlet.handlers.ServletInitialHandler",
        "method": "lambda$new$1",
        "line": 99
      },
      {
        "class": "io.undertow.server.Connectors",
        "method": "executeRootHandler",
        "line": 418
      },
      {
        "class": "io.undertow.server.HttpServerExchange$1",
        "method": "run",
        "line": 938
      },
      {
        "class": "org.jboss.threads.ContextHandler$1",
        "method": "runWith",
        "line": 18
      },
      {
        "class": "org.jboss.threads.EnhancedQueueExecutor$Task",
        "method": "doRunWith",
        "line": 2651
      },
      {
        "class": "org.jboss.threads.EnhancedQueueExecutor$Task",
        "method": "run",
        "line": 2630
      },
      {
        "class": "org.jboss.threads.EnhancedQueueExecutor",
        "method": "runThreadBody",
        "line": 1622
      },
      {
        "class": "org.jboss.threads.EnhancedQueueExecutor$ThreadBody",
        "method": "run",
        "line": 1589
      },
      {
        "class": "org.xnio.XnioWorker$WorkerThreadFactory$1$1",
        "method": "run",
        "line": 1282
      },
      {
        "class": "java.lang.Thread",
        "method": "run",
        "line": 1474
      }
    ]
  },
  "service": "zac"
}