John_Lock
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User01322342, the "progress" field should contain as many items as there are stages in the quest. The first one appears immediately upon issuance, the rest after completion.
SetObjectiveProgress(quest_name, stage_number).
where stage_number is 1, 2, ...
Added 2 minutes ago
I have another question. There is a quest, it is of type Objective_Kind_Manual. In this quest, the goal is to defeat 5 groups of creatures. How can this be done through Objective_Kind_Manual?