Updating macOS Tahoe 26 to beta 5 on separate partition boots into main partition

I successfully installed macOS Tahoe 26 in June on a separate external partition. Now I want to update to beta 5, but when the Mac restarts to install the update, it shows the progress indicator for a minute or two, then boots again into the main partition which has macOS 15.6. Am I required to install it from scratch?

Updating macOS Tahoe 26 to beta 5 on separate partition boots into main partition
 
 
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