Third of the 14 lane-bound SQL sites from #2839, after #2864 and #2866.
Independent of both.
## The defect
`aggregateProductivityAnalytics` filtered its duration query on
`"column" = 'done'`. On a renamed board that matches nothing, so the
entire task-duration distribution — median, p90, average, total — is
computed from an **empty row set** and reports zeros while the project
ships work. Nothing errors.
Same shape and fix as the previous two: resolve per **project** via
`resolveProjectColumnsForRoles`, bind an `IN` list, thread the store
from the single Command Center caller so the parameter has a supplier
immediately rather than becoming an inert seam.
## Measured
Reverted, only the renamed case flips:
```
✓ default vocabulary: a finished task contributes to the duration stats
× renamed vocabulary: a task in the RENAMED complete lane contributes
✓ renamed vocabulary: a task still in the WIP lane does NOT contribute
✓ without a lane store, the legacy id still answers
Tests 1 failed | 3 passed (4)
```
## The negative asserts the median, not just the count
This fix's failure mode is **worse than the bug it fixes**. Resolving
too many lanes would pull unfinished work into the distribution and
produce a plausible-but-wrong median — a number nobody questions — where
the bug produces an obvious zero. So the WIP-lane case asserts
`medianMs` is null as well as `completedTasks` being 0.
## A fixture error worth naming
My first version asserted `taskDuration.count`. `TaskDurationSummary`
exposes `completedTasks`. Every case failed with `expected undefined to
be 1` — **including the controls** — which reads exactly like a broken
product until you notice the control is failing too. A control that
fails is a fixture bug, not a finding; that asymmetry is the fastest way
to tell them apart.
## Scope
The sync SQLite arm keeps its literal: it throws in backend mode and has
no production caller, the same dead-arm conclusion as
`cleanupStaleMergeQueueRowsImpl` on #2839.
## Verification
`pnpm test:gate` green · both Command Center analytics suites 8/8 ·
`tsc` core 0, dashboard 0 · lint 0 · changeset included.
🤖 Generated with [Claude Code](https://claude.com/claude-code)
---------
Co-authored-by: Claude Opus 5 (1M context) <noreply@anthropic.com>
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