re: UnitGroup member field n is a unit count, bounded by the formation

FormationSet_S<NN>.tbl records are slot lists -- 1 + 8*FrameCount fields,
exactly. Resolving every squadron's FormationID and comparing gives
sum(n) <= FrameCount holding 1159/1160 across all 28 stages, 0 unresolved, with
539 filling the formation exactly. The single violation is a debug leftover
(S20, AI_Test / MessageSet_test, Formation_1_only with n=2) and is recorded.

The old 'n is not the _NN suffix of FormationID' observation was right but drew
the wrong conclusion: the suffix IS FrameCount, so n=9 against _30 just means 9
units in 9 of 30 slots.

Also: FormationID does not hash into its table (0/16). FormationSet carries a
name roster record -- no FrameCount, fields are (tag, name, '') with the tags
being the record keys -- the same convention as Enumerate_Squadrons. Second
occurrence of 'keys are resolved by an in-table roster, not by hashing'.

Does not close the 387-vs-300 gap, and the key derivation stays open.

tools/re-capture/freeze_waitobj.sh

@@ -32,6 +32,15 @@
 # emulator survives BETWEEN calls in a turn:
 #     freeze_waitobj.sh boot [fly_s]   boot, fly, capture `healthy`, leave running
 #     freeze_waitobj.sh watch [secs]   poll for the freeze, capture `frozen`
+#     freeze_waitobj.sh run [fly_s]    boot + healthy + watch, end to end
+#
+# `run` exists because the whole experiment does not fit one Bash call and a
+# `timeout` kills the process group -- it took the emulator down once. Launch it
+# detached (`nohup ... &`) and poll the log instead.
+#
+# SYLPH_INDUCE=1 starts heavy_read.py the moment flight begins, to test whether
+# the freeze follows our instrument rather than the mission (see the n=1 entry in
+# mission-freeze-resume-spin.md). The control is the same script without it.
 set -u
 export HOME=/sylph-home/re SDL_AUDIODRIVER=dummy DISPLAY=:98
 export PYTHONPATH=/sylph-home/.local/lib/python3.12/site-packages
@@ -111,7 +120,7 @@ if [ "$MODE" = watch ]; then
   echo "NO FREEZE within ${SECS}s (still animating)"; exit 1
 fi
 
-# ---- boot mode ----
+# ---- boot / run mode ----
 FLY="${FLY:-150}"
 "$SD/launch_mission.sh" fly || { echo "BOOT FAILED"; exit 1; }
 CFG=/tmp/nav-fz.json
@@ -123,7 +132,17 @@ for t in 1 2 3; do
       </dev/null >/tmp/fz-pilot.log 2>&1 & echo "--- pilot flying"; break
   fi
 done
+if [ "${SYLPH_INDUCE:-0}" = 1 ]; then
+  nohup python3 "$SD/heavy_read.py" 4000 2 cpu </dev/null >/tmp/heavy.log 2>&1 &
+  echo "--- INDUCER ON from flight start ($(date +%T))"
+else
+  echo "--- inducer OFF (control run)"
+fi
 echo "--- flying ${FLY}s to the healthy control capture"
 sleepfor "$FLY"; capture healthy
 python3 "$SD/waitobj_report.py" healthy
-echo "BOOT PHASE DONE -- emulator left running; now: freeze_waitobj.sh watch"
+echo "BOOT PHASE DONE -- emulator left running"
+if [ "$MODE" = run ]; then
+  echo "--- watching for the freeze ($(date +%T))"
+  exec "$0" watch "${WATCH_S:-1500}"
+fi