I have just started to prep for part-1 of the exam. Here are few inputs from me based off reference from
SCEA book by Cade/Sheil
Integration tier services abstract and provide access to external resources.
Drivers and APIs that you use to access this external systems will be considered as part of this tier. If you develop some API whose sole purpose is to provide access to external system, then it can be considered as part of this tier. If your SSB is a generic API that you have developed that can be used to invoke any web service then you may consider it as part of integration tier.
Business tier services execute business logic and manage transactions.
SSB does provides ability to manage transactions. Further more if SSB API is specific web service related to your SuD, I would consider it as part of business tier.
Proxy is used to control the access to original object.
Adapter is used to provide interface known to the client of an object whose interface is not known to the client. Hence I would consider your SSB to be an adapter instead of proxy as it adapts web service interface to
EJB based interface.