What I am trying to accomplish:
As noted in LinkedIn's Android SDK authentication documentation (https://developer.linkedin.com/docs/android-sdk-auth),
Mobile vs. server-side access tokens
It is important to note that access tokens that are acquired via the Mobile SDK are only useable with the Mobile SDK, and cannot be used to make server-side REST API calls.
Similarly, access tokens that you already have stored from your users that authenticated using a server-side REST API call will not work with the Mobile SDK.