Because control over a city can be difficult to resolve, this question resolves based on control of Svobody Square in central Kherson, where the Kherson Regional Administration building is located.
Resolves YES if Ukraine controls Svobody Square in central Kherson starting by the deadline in the question title, for a period of at least 7 consecutive days, according to reporting by the Institute for the Study of War (ISW). Otherwise resolves NO. Times will be in the local timezone in Ukraine.
(Other reliable media reporting may be used instead if for some reason ISW is unavailable.)
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https://www.nytimes.com/2022/10/24/world/europe/russia-ukraine-kherson-war.html
Russian military forces, however, despite earlier reports that their leaders had sought permission to reposition to the east bank of the Dnipro River, appeared to be staying put.
“They are not preparing to exit now,” Gen. Kyrylo O. Budanov, the head of Ukraine’s military intelligence service, said in an interview with a Ukrainian news outlet, Ukrainska Pravda, that was published on Monday. “They are preparing to defend.”
The evacuation orders for civilians, he said, suggested that Moscow could be readying the city for urban combat.