feat(transitions): tasks_ready predicate for execution loop

New TasksReady condition driven by EvaluationContext.readyTaskCount,
fed at resolve time via a kernel-declared ReadyTaskCounter interface
implemented in apps/server over TaskService (keeps core:kernel
decoupled from core:tasks). Loops a graph while ready>0, exits at 0.

apps/server/src/main/kotlin/com/correx/apps/server/Main.kt

@@ -368,6 +368,7 @@ fun main() {
         compactionService = journalCompactionService,
         artifactKindRegistry = artifactKindRegistry,
         repoKnowledgeRetriever = repoKnowledgeRetriever,
+        readyTaskCounter = com.correx.apps.server.tasks.ProjectReadyTaskCounter(eventStore, taskService),
     )
     val workflowRegistry = FileSystemWorkflowRegistry(
         InfrastructureModule.createWorkflowLoader(configArtifactKindsEarly),

apps/server/src/main/kotlin/com/correx/apps/server/tasks/ProjectReadyTaskCounter.kt

@@ -0,0 +1,31 @@
+package com.correx.apps.server.tasks
+
+import com.correx.core.approvals.ProjectIdentity
+import com.correx.core.events.events.SessionWorkspaceBoundEvent
+import com.correx.core.events.stores.EventStore
+import com.correx.core.events.types.SessionId
+import com.correx.core.kernel.orchestration.ReadyTaskCounter
+import com.correx.core.tasks.TaskService
+
+/**
+ * [ReadyTaskCounter] over the task projection. Resolves the session to its project the same way the
+ * approval gate does (bound workspace root → [ProjectIdentity.of]) and counts the ready tasks there.
+ * Pure read over event-derived state, so it stays replay-safe.
+ *
+ * Caveat for the execution loop: tasks are keyed by whatever `project` string the decomposer passes
+ * to task tools; this counts the project derived from the workspace root. Those must agree for the
+ * loop predicate to fire — Slice 2/4 pins that down.
+ */
+class ProjectReadyTaskCounter(
+    private val eventStore: EventStore,
+    private val taskService: TaskService,
+) : ReadyTaskCounter {
+    override fun count(sessionId: SessionId): Int {
+        val workspaceRoot = eventStore.read(sessionId)
+            .mapNotNull { it.payload as? SessionWorkspaceBoundEvent }
+            .lastOrNull()
+            ?.workspaceRoot
+            ?: return 0
+        return taskService.ready(ProjectIdentity.of(workspaceRoot)).size
+    }
+}