Apple Music and the iTunes Store are two separate things, you do not have to subscribe to Apple Music to redownload iTunes content. On an iOS device go to the iTunes Store app and select the Purchased tab in it to redownload content, and if you don't want Apple Music to show you can disable it via Settings > Music > Show Apple Music 'off'
I purchased an album from iTunes and now to download it in my music app I have to get the Apple Music pay plan, is this required or can I download my music without this?
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Question: Apple Music payment required for download?