The proper way to use Muse with your partner account would be to publish to your partner account - not sure why it isn't showing up for you in your site list unless you are using different Adobe IDs.
Image may be NSFW.
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Then in the folder text box enter the name of a folder you want to publish to. Do not publish to the root directory.
Image may be NSFW.
Clik here to view.
Then in your site admin in BC set the index page of your Muse site as the default page.