engine cleanup passes 4-7 + multi-instancing ambient rip

Squashes 146 commits from battle-engine-extraction. Net: 2,045 files changed,
+11,896 / -158,687 lines. Ships engine passes 4-7 (dead-code cull, view-layer
stub, receive-path shrink) plus the Phase-5 AsyncLocal ambient deletion that
turns concurrent battles into a type-system property rather than a scope
contract.

## What landed

**Passes 4-7 (chunks 1-34):** Extended the Phase-4 const-false collapse into a
cascading cull across the skill graph, view layer, and receive-path periphery.
Six mode flags (IsWatchBattle/IsReplayBattle/IsAdmin/IsAdminWatch/IsPuzzleQuest/
IsAINetwork) became `const false`, every guarded block deleted. Field*.cs
subclass ctors + BackGroundBase + ObjectChecker culled to no-ops. Mulligan
family reworked to take a mgr param through IMulliganMgr.InitMulligan.
Emotion/Recovery/Resource clusters null-stubbed. Prediction/OperationSimulator/
skill filters converted from static ambient reads to per-mgr reads via
SkillPrm.ownerCard.SelfBattlePlayer.BattleMgr / ins.BattleMgr / this.BattleMgr.

**Phase-5 ambient rip (chunks 35-47):** Deleted BattleAmbient / BattleAmbient-
Context / TestBattleScope in full. Every per-battle mutable slot now lives on
the mgr instance itself:
  mgr.InstanceIsForecast / InstanceIsRandomDraw / InstanceRecoveryInfo /
  InstanceViewerId / InstanceNetworkAgent / GameMgr
BattleManagerBase.GetIns() returns null unconditionally; the residual static
flags + 3 façades (Certification.ViewerId, Data.BattleRecoveryInfo,
ToolboxGame.RealTimeNetworkAgent) are null-tolerant defaults kept for the
handful of engine-internal readers that still reference their types. Zero
BattleAmbient references anywhere in engine + node + tests.

Added pre-seeded GameMgr ctor overload threaded through the mgr chain
(BattleManagerBase → SingleBattleMgr / NetworkBattleManagerBase → NetworkStandard-
BattleMgr → HeadlessBattleMgr / HeadlessNetworkBattleMgr). Fixtures build a
GameMgr, seed it via HeadlessEngineEnv.SeedCharaIds/SeedNetUser, and pass it
to the mgr's ctor — no ambient reach.

Node side (SVSim.BattleNode/SessionBattleEngine): _ctx replaced with a plain
GameMgr field; 34 `using var _ambient = BattleAmbient.Enter(_ctx)` scope wraps
ripped from every accessor and mutator; EngineGlobalInit.WirePerSessionGameMgr
takes GameMgr as a param and runs from SessionBattleEngine.SetupInternal
BEFORE mgr construction.

Test side: TestBattleScope deleted; 18 fixture [SetUp]s migrated to
`HeadlessEngineEnv.EnsureProcessGlobals()`; MultiInstanceEngineTests rewritten
around per-mgr construction (GetIns() → null is the pinned invariant).

## Regression fixes

- **chunk-48** (MulliganCtrl): chunk-35's `= null` stubs on card lookups broke
  the live receive-driven Deal path (BattlePlayerBase.DrawCard NRE'd downstream
  of NetworkPlayerMulliganCtrl.StartMulliganVfx). Restored the three lookups
  via `_battlePlayer.BattleMgr.GetBattleCardIdx`. Engine tests were satisfied
  by the WireMulliganPhase seam; unit tests exposed the live-path gap.

## Ship state

- SVSim.BattleEngine.Tests: 56/56 pass, 2 skip
- SVSim.UnitTests: 1554/1554 pass (was 1523/31-fail before chunk 48)
- Solution build: 0 source warnings (40 pre-existing NU1902 MessagePack CVEs
  in SVSim.EmulatedEntrypoint, unrelated)
- Sequential PVP smoke: verified live (two back-to-back battles, no regression
  on cleanup/spinup)
- Concurrent PVP smoke: verified live

Adds tools/engine-port/ClosureAnalyzer/ — the Roslyn transitive-type-closure
analyzer needed to make future cascade cleanup safe (per feedback memory
"Engine cleanup needs closure tool" from the 2026-06-28 pass-3 failure).

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

SVSim.BattleEngine/Engine/Wizard/AvatarBattleAllInfo.cs

@@ -9,9 +9,6 @@ public class AvatarBattleAllInfo
 {
 	public class PeriodData
 	{
-		public DateTime BeginTime = DateTime.MaxValue;
-
-		public DateTime EndTime = DateTime.MinValue;
 
 		public double StartUnixTime { get; set; }
 
@@ -22,50 +19,14 @@ public class AvatarBattleAllInfo
 
 	public PeriodData FreeMatchPeriod = new PeriodData();
 
-	public PeriodData GatheringPeriod = new PeriodData();
-
 	private bool _avatarBattleScheduleExist;
 
 	private float _receiveSinceTime;
 
 	private double _receiveServerUnixTime;
 
-	public List<AvatarBattleInfo> AvatarBattleInfoList { get; } = new List<AvatarBattleInfo>();
-
 	public bool IsWithinFreeMatchPeriod => IsWithinPeriod(FreeMatchPeriod);
 
-	public bool IsWithinGatheringPeriod => IsWithinPeriod(GatheringPeriod);
-
-	public void Parse(JsonData json, JsonData headerData)
-	{
-		JsonData jsonData = json["abilities"];
-		foreach (string key in jsonData.Keys)
-		{
-			AvatarBattleInfo avatarBattleInfo = new AvatarBattleInfo(jsonData[key]);
-			_avatarBattleDictionary[avatarBattleInfo.LeaderSkinId] = avatarBattleInfo;
-			avatarBattleInfo.SetAbility(jsonData[avatarBattleInfo.LeaderSkinId]);
-			AvatarBattleInfoList.Add(avatarBattleInfo);
-		}
-		JsonData jsonData2 = json["schedules"];
-		if (jsonData2.IsObject)
-		{
-			if (jsonData2.TryGetValue("free_battle", out var value))
-			{
-				SetPeriodData(FreeMatchPeriod, value);
-				_avatarBattleScheduleExist = true;
-				_receiveSinceTime = Time.realtimeSinceStartup;
-				_receiveServerUnixTime = headerData["servertime"].ToDouble();
-			}
-			if (jsonData2.TryGetValue("gathering", out var value2))
-			{
-				SetPeriodData(GatheringPeriod, value2);
-				_avatarBattleScheduleExist = true;
-				_receiveSinceTime = Time.realtimeSinceStartup;
-				_receiveServerUnixTime = headerData["servertime"].ToDouble();
-			}
-		}
-	}
-
 	public AvatarBattleInfo Get(string id)
 	{
 		if (string.IsNullOrEmpty(id))
@@ -79,14 +40,6 @@ public class AvatarBattleAllInfo
 		return null;
 	}
 
-	private void SetPeriodData(PeriodData period, JsonData jsonData)
-	{
-		period.BeginTime = DateTime.Parse(jsonData["begin_time"].ToString());
-		period.EndTime = DateTime.Parse(jsonData["end_time"].ToString());
-		period.StartUnixTime = ConvertTime.DateTimeToUnixTime(DateTime.Parse(jsonData["begin_time"].ToString()));
-		period.EndUnixTime = ConvertTime.DateTimeToUnixTime(DateTime.Parse(jsonData["end_time"].ToString()));
-	}
-
 	private bool IsWithinPeriod(PeriodData period)
 	{
 		if (!_avatarBattleScheduleExist)