refactor(runtime): acknowledge exact world host projections

tools/run-connected-world-lifecycle-gate.ps1

@@ -140,6 +140,8 @@ function Read-Checkpoints([string]$Path) {
 function Validate-Checkpoint([string]$SessionLabel, [object]$Checkpoint) {
     $name = $Checkpoint.name
     $reveal = $Checkpoint.reveal
+    $environmentOwnership = $Checkpoint.environmentOwnership
+    $transitOwnership = $Checkpoint.transitOwnership
     $resources = $Checkpoint.resources
     if (-not $reveal.readiness.isReady) {
         $failures.Add("${SessionLabel}/${name}: reveal was not ready")
@@ -161,6 +163,31 @@ function Validate-Checkpoint([string]$SessionLabel, [object]$Checkpoint) {
             $failures.Add("${SessionLabel}/${name}: collision was not ready")
         }
     }
+    if (-not $environmentOwnership.isInitialized) {
+        $failures.Add("${SessionLabel}/${name}: Runtime world environment is not initialized")
+    }
+    if (($environmentOwnership.dayGroupDefinitionCount -le 0) -or
+        ($environmentOwnership.activeDayGroupCount -ne 1)) {
+        $failures.Add((
+            "${SessionLabel}/${name}: Runtime environment ownership is {0}/{1}, expected definitions with one active group" -f
+                $environmentOwnership.dayGroupDefinitionCount,
+                $environmentOwnership.activeDayGroupCount))
+    }
+    foreach ($field in @(
+        'bufferedTeleportDestinationCount',
+        'pendingTeleportStartCount',
+        'activeTeleportCount',
+        'acceptedTeleportDestinationCount',
+        'activeRevealCount',
+        'pendingDestinationReadinessCount',
+        'hostProjectionCount',
+        'pendingHostAcknowledgementCount')) {
+        if ([int]$transitOwnership.$field -ne 0) {
+            $failures.Add((
+                "${SessionLabel}/${name}: transitOwnership.$field={0}, expected zero at a stable checkpoint" -f
+                    $transitOwnership.$field))
+        }
+    }
     if ($resources.pendingLiveTeardowns -ne 0) {
         $failures.Add("${SessionLabel}/${name}: $($resources.pendingLiveTeardowns) live teardown(s) pending")
     }