chore(cleanup): delete confirmed-dead files with no live references

Removes 6 files audited as fully unused: StageExecutor interface (shadowed
by kernel), CyclePolicyResolver and PolicyValidation (deferred cycle policy),
ApprovalRoutes (never registered), TuiNavigation (superseded by reducer),
and ReplayContractTest abstract class (no concrete subclasses).

ArtifactRelationshipType and CyclePolicy were audited but retained —
both are actively referenced by production code.

apps/server/src/main/kotlin/com/correx/apps/server/routes/ApprovalRoutes.kt

@@ -1,55 +0,0 @@
-@file:Suppress("MatchingDeclarationName")
-
-package com.correx.apps.server.routes
-
-import com.correx.apps.server.approval.ApprovalCoordinator
-import com.correx.apps.server.protocol.ApprovalDecision
-import com.correx.apps.server.protocol.ClientMessage
-import com.correx.apps.server.protocol.ServerMessage
-import com.correx.core.events.types.ApprovalRequestId
-import com.correx.core.events.types.SessionId
-import com.correx.core.utils.TypeId
-import io.ktor.http.HttpStatusCode
-import io.ktor.server.request.receive
-import io.ktor.server.response.respond
-import io.ktor.server.routing.Route
-import io.ktor.server.routing.post
-import io.ktor.server.routing.route
-import kotlinx.serialization.Serializable
-
-@Serializable
-data class ApprovalRequest(
-    val requestId: String,
-    val decision: String,
-    val note: String? = null,
-)
-
-fun Route.approvalRoutes(coordinator: ApprovalCoordinator) {
-    route("/sessions/{id}/approve") {
-        post {
-            val id = call.parameters["id"]
-                ?: return@post call.respond(HttpStatusCode.BadRequest, "Missing session id")
-            val sessionId: SessionId = TypeId(id)
-            val body = call.receive<ApprovalRequest>()
-            val requestId: ApprovalRequestId = TypeId(body.requestId)
-            val decision = when (body.decision.lowercase()) {
-                "approve" -> ApprovalDecision.APPROVE
-                "reject" -> ApprovalDecision.REJECT
-                "steer" -> ApprovalDecision.STEER
-                else -> return@post call.respond(HttpStatusCode.BadRequest, "Unknown decision: ${body.decision}")
-            }
-            val msg = ClientMessage.ApprovalResponse(
-                requestId = requestId,
-                decision = decision,
-                steeringNote = body.note,
-            )
-            val error = coordinator.handleResponse(msg, sessionId)
-            if (error != null) {
-                val msg = (error as? ServerMessage.ProtocolError)?.message
-                call.respond(HttpStatusCode.Conflict, mapOf("error" to msg))
-            } else {
-                call.respond(HttpStatusCode.OK)
-            }
-        }
-    }
-}

apps/tui/src/main/kotlin/com/correx/apps/tui/TuiNavigation.kt

@@ -1,19 +0,0 @@
-package com.correx.apps.tui
-
-import com.correx.apps.tui.state.TuiState
-
-internal fun navigateUp(state: TuiState): TuiState {
-    val sessions = state.sessions.sessions
-    if (sessions.isEmpty()) return state
-    val idx = sessions.indexOfFirst { it.id == state.sessions.selectedId }
-    val newIdx = if (idx <= 0) sessions.lastIndex else idx - 1
-    return state.copy(sessions = state.sessions.copy(selectedId = sessions[newIdx].id))
-}
-
-internal fun navigateDown(state: TuiState): TuiState {
-    val sessions = state.sessions.sessions
-    if (sessions.isEmpty()) return state
-    val idx = sessions.indexOfFirst { it.id == state.sessions.selectedId }
-    val newIdx = if (idx >= sessions.lastIndex) 0 else idx + 1
-    return state.copy(sessions = state.sessions.copy(selectedId = sessions[newIdx].id))
-}