Aurora Cape not available in Java launcher until applied in Bedrock Edition

Upon completion of the Dungeons 2 Livestream drop for the Aurora cape, including redeeming of the code, I tried to apply it to my Java skin, and found that it was not in my capes inventory. Cursory research on Reddit suggested applying the cape in Bedrock Edition, which I attempted, after which the cape became available in my Java launcher capes inventory. For players who do not own a copy of Bedrock Edition, the cape likely remains inaccessible even after redemption of the code. Several friends reported the same issue, and one was kind enough to provide screenshots.