Mac and Linux users can't access builder / redeemable capes

I'm a mac user and I redeemed the builder cape a few days ago but it wasn't showing up. When I went to check the support forums, they told me that I needed to activate it through the bedrock dressing room. One problem: I don't have access to bedrock. Since it doesn't work on mac and I don't have other machines or the money to get them, I simply will not get my cape despite having redeemed it. This is a huge oversight, in my opinion, and I'd like to see a way for mac and linux users to get access to capes they redeemed.