I expect 32bit apps to run.
Maybe not in 10.14, but in 10.13 it should work.
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The last gasp for 32-bit apps
Apple announced at WWDC that the company will start to phase out support for 32-bit software in macOS. In January 2018 (High Sierra will be released months before that), new apps submitted by developers to the App Store must be 64-bit apps. Also, all apps and app updates must be 64-bit by June 2018. Eventually, 32-bit support will no longer exist in macOS, probably in a version after High Sierra.
That’s important for developers to note, but it’s also important for users. If you have old software you like to use and never update, it’s possible they are 32-bit apps and they won’t work in a future version of macOS. Now’s the time to update those apps and get used to them, or find alternatives.