Based on my experience, the Belarc Advisor software doesn't necessarily provide the full or actual serial numbers of installed software.
I assume that you know that you can't simply move software from one system to another. You will need to fully install the software via the proper installer which may be serial number sensitive.
Also note that Acrobat 9 Pro is a very old version that is (1) no longer supported by Adobe and (2) may or may not properly install or fully execute on Windows 10 (I assume that a new laptop system will likely have either Windows 10 or possibly Windows 7. Acrobat 9 certainly does not support PDF creation with the last several versions of Microsoft Office with Acrobat's PDFMaker feature.
Since you are dealing with a corporate license, I would most strongly recommend that you go to your corporate IT folks at Broadcom and have them assist you directly.
- Dov