Use JSR223 PostProcessor to re-add the header after the request, something like this:

1. In JSR223 PreProcessor:

   vars.putObject('Authorization', sampler.getHeaderManager().getFirstHeaderNamed('Authorization'))
   sampler.getHeaderManager().removeHeaderNamed('Authorization')
   

2. In JSR223 PostProcessor:

   sampler.getHeaderManager().add(vars.getObject('Authorization'))
   

More information on Groovy scripting in JMeter: Apache Groovy: What Is Groovy Used For?