The situation is complicated. A blue stop sign on private property generally does not have the same status as a government-issued stop sign on a public road. Enforcement may depend on state and local laws. While you might not receive a standard traffic ticket, other consequences may still apply.
Private-property rules, for instance, may involve security enforcement, towing, restricted access, or liability after an accident. If you cause a collision after intentionally ignoring a clearly posted instruction to stop, the sign’s unusual color is unlikely to erase those consequences.
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