Pure deterministic ordering of the automatic catalogue: classify each
point by its nearest bounding-rectangle side(s) with the preparation
tolerance (a corner belongs to two sides), choose the facing side pair
from the look-ahead target against the centre (right/left and top/bottom
per the source plan), then order by matched facing sides descending,
rank tier ascending (corner, midpoint/tangent peer tier, fallbacks),
then arrival->entry + entry->target travel, then the stable geometric
key. Without a target (last part) the tier leads and distance to the
arrival breaks ties — never the plate origin. The input list is never
mutated, no candidates are added, no cap is applied and entity order is
never the tie-break; reversed and cyclically reindexed drawings rank to
the identical geometric order.