Deployment fails with weld-servlet >= 2.2.5.Final because of duplicate CDI beans when deployment contains bean archive

Using arquillian-tomcat-embedded-7, arquillian-bom 1.1.7.Final, WELD 2.2.10.Final:

I have created a simple WAR file that contains WELD and a single servlet. There is also a dependent JAR that contains the following:

• a @Dependent bean with a @Produces method
• a META-INF/beans.xml file.

When I try to test this servlet using Arquillian's TestNG container, the deployment fails with this error:

SEVERE: Servlet threw load() exception
org.jboss.weld.exceptions.DeploymentException: WELD-001409: Ambiguous dependencies for type String with qualifiers @Trouble
at injection point [BackedAnnotatedField] @Trouble @Inject private org.testing.web.TroubleServlet.trouble
at org.testing.web.TroubleServlet.trouble(TroubleServlet.java:0)
Possible dependencies:

• Producer Method [String] with qualifiers [@Trouble @Any] declared as [[BackedAnnotatedMethod] @Produces @Trouble org.testing.TroubleMaker.getTrouble()],
• Producer Method [String] with qualifiers [@Trouble @Any] declared as [[BackedAnnotatedMethod] @Produces @Trouble org.testing.TroubleMaker.getTrouble()]