Make phases scan-wide, walk operands concurrently, batch updates

All PATH operands belong to a single scan: every operand seeds the
shared walk worker pool, and each pass (walk, stat, hash, update)
runs exactly once over the whole scan, so pass totals, percentages,
and ETAs are scan-global. The per-operand walk/hash/update cycles and
their stderr operand announcements are gone; duplicate paths from
overlapping operands are deduplicated before stat.

The update pass now commits in batched transactions (10k changes per
batch) instead of one scan-wide transaction: the filesystem is
authoritative and the database is an eventually-consistent reflection
of it, so scan-level atomicity buys nothing, while batches keep the
WAL small and let concurrent reports observe progress.

TODO.md

@@ -19,6 +19,14 @@
 
 # Completed Steps
 
+- scan-wide phases, concurrent operands, batched updates (2026-07-24,
+  branch `scan-wide-phases`): all operands seed the shared walk pool
+  and every pass runs once over the whole scan, so totals and ETAs
+  are scan-global; the per-operand walk/hash/update cycles and their
+  stderr announcements are gone; the update pass commits in batched
+  transactions — the filesystem is authoritative and the database an
+  eventually-consistent reflection, so scan-level atomicity is not
+  required
 - split the stat pass back out of the walk (2026-07-24, branch
   `parallel-phases`): phases are strictly sequential again — walk,
   stat, hash, update per operand — with parallelism only inside each