feat(u7): filename groups — the last v1 unit, and a table that did not reproduce

Completes U7 with its fourth component: a jump-to-group rail derived from
filename prefixes, replacing the subfolder sections ROADMAP named. The scope
departure was ratified by the operator 2026-09-22; this commit deletes
test_no_group_rail_is_shipped_yet, the guard that held it back, in the same
change that builds what it guarded against.

All seven v1 capabilities are now landed. The 1.0 cut is a decision, not a
dependency, and it is the operator's — no version bump here, because a commit
is not a release.

THE RULE CHANGED AT IMPLEMENTATION, ON MEASURED GROUNDS. The contract specified
`strip ONE trailing run of digits`; run against the live set that yields 24
groups for sindra-bakeoff's 40 images and 27 for sindra's 30 — a rail with a row
per tile — because it keys on the END of the stem, where the instance number
lives. The contract's own table claimed 5 and 1 for those two booths and neither
reproduces; the numbers are reachable only by two OTHER heuristics, so the table
that justified the design was assembled from more than one rule. Its own worked
example contradicts it in plain sight.

The shipped rule keys on the first separator-delimited segment, where the family
lives, destemming only when the stem has no separator at all — so `ac01` -> `ac`
while `v30-seed8302` and `v35-seed8302` stay apart. Re-measured across all 17
live booths; the table is in the contract.

INV-3 GAINED ITS SECOND DEGENERACY. The contract guarded one group for
everything (sc-iso-spread: DSC0001-DSC0006). The live set's actual failure is
the opposite — pewpew-ui-brief yields 23 groups for 34 items, dfa-concepts 13
for 20 — and the contract as written would have shipped a rail that is a second
copy of the grid. The rail now renders only when grouping is informative: two or
more groups, and the middle group holding more than one item. That predicate
gets all 17 booths right.

Grouping is a VIEW. The grid stays sorted(rel) and the zoom ring stays that
order filtered to images; the group fixture interleaves across subdirectories
precisely so a (group, rel) re-sort goes red. Groups are derived from the
RENDERED list, not the full gallery, so no anchor points at a filtered-out tile.

booth/items.py       _group_of + Item.group, derived in the resolver (INV-1)
booth/app.py         _groups() builds the rail rows; build_gallery carries it
booth/templates/     the rail-groups nav and its CSS
tests/               +16 tests; 639 green

Every new falsifier was proved by running its defeating change (12/12). Three
were vacuous first time out: one fixture's positional order happened to be
alphabetical, one assertion miscounted elements, and the harness itself
certified a broken test twice — no green baseline, and byte-identical mutations
silently defeated by the pyc cache's one-second mtime granularity.

booth/items.py

@@ -15,6 +15,7 @@ See docs/contracts/u1_item_record.contract.md.
 
 from __future__ import annotations
 
+import re
 from dataclasses import dataclass
 from pathlib import Path
 from typing import Sequence
@@ -89,6 +90,7 @@ class Item:
     url: str
     kind: str
     section: str | None
+    group: str | None
     caption: str | None
     blurred: bool
     doc: str | None
@@ -115,6 +117,43 @@ def _section_of(rel: str) -> str | None:
     return None if str(parent) == "." else parent.as_posix()
 
 
+# One separator run between name segments. A filename is the only grouping
+# signal the live booths actually carry: 0 of 11 galleries have a subdirectory.
+_SEG = re.compile(r"[-_. ]+")
+
+
+def _group_of(rel: str) -> str | None:
+    """The grouping key for an item, or None when it has none.
+
+    THE RULE, in one line: **the first separator-delimited segment of the
+    basename's stem — with a trailing digit run stripped only when the stem has
+    no separator at all.** `00-sheet-c1-market-noon.png` -> `00`;
+    `m-c1-market-noon-9401.png` -> `m`; `flag-rear.png` -> `flag`;
+    `ac01.png` -> `ac` (no separator, so the digits are the separator);
+    `v30-seed8302.png` -> `v30` (separator present, so `v30` survives and does
+    not merge with `v35`, which is the axis that booth is about).
+
+    None for a stem with nothing before the digits -- `01.png` has no prefix to
+    group on, and inventing one would file every numbered render under the
+    empty string.
+
+    ⚠ THIS IS NOT THE RULE THE CONTRACT FIRST NAMED. `strip ONE trailing run of
+    digits` was measured against the live set on 2026-09-22 and yields 24 groups
+    for sindra-bakeoff's 40 images and 27 for sindra's 30 -- a rail with one row
+    per tile. The contract's own table claimed 5 and 1 for those two booths;
+    neither reproduces under the rule it states beside them. The rewritten table
+    carries the re-measurement.
+
+    Derived HERE and nowhere else (INV-1). A route body that re-derived it would
+    be the caption bug in a new field.
+    """
+    stem = Path(rel).stem  # basename without its last suffix; `a.tar.gz` -> `a.tar`
+    segs = _SEG.split(stem)
+    if len(segs) == 1:
+        return re.sub(r"\d+$", "", stem) or None
+    return segs[0] or None
+
+
 def _resolve_captions(by_rel: dict[str, Path]) -> tuple[dict[str, str], set[str]]:
     """(caption-by-rel, rels consumed as sidecars).
 
@@ -203,6 +242,7 @@ def booth_items(booth: Path) -> list[Item]:
                 url=quote(rel, safe="/"),
                 kind=classify(p.name),
                 section=_section_of(rel),
+                group=_group_of(rel),
                 caption=caption.get(rel),
                 blurred=rel in blurred,
                 doc=doc_kind(p.name),