After much hunting and an unanswered request to Sketchup Support, I figured out that, even though I am the only user on my account, I had to assign rights to myself for the product I just bought for myself. This seems unnecessary and I found it to be somewhat cryptic.
I understand how licenses must be distributed among multiple users. However, as the sole user on this account, what amounts to a quirk has unnecessarily cost me time and caused me frustration. I implore Trimble/SketchUp to address this quirk.