runed PersistedState hydrates raw stored JSON without merging defaults, so any
field added after a user's first session is undefined rather than its default value.
Apply a shallow spread (defaults → stored) in the custom serializer for badges,
leads, and pres_mgmt stores so new fields always fall back to defaults for
existing sessions — without disrupting any previously saved preferences.
Co-Authored-By: Claude Sonnet 4.6 <noreply@anthropic.com>
