We've already got model tests for that, and we were modifying the
database after a `visit`, since we were doing a loop consisting of
"update!" -> "visit" -> "update!" -> "visit!" -> (...).
Besides, note that the `.kind_or_later("publishing_prices").each` block
wasn't modifying the budget, so it always visited the page under the
same conditions.
So we're simply randomly checking one phase to test that the user
interface works as expected.
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