diff --git a/internal/broker/seattraffic.go b/internal/broker/seattraffic.go
index be2852c4..eea8e19c 100644
--- a/internal/broker/seattraffic.go
+++ b/internal/broker/seattraffic.go
@@ -1,6 +1,9 @@
 package broker
 
-import "sort"
+import (
+	"fmt"
+	"sort"
+)
 
 // What a module may say and take on the seats it holds, uses and watches, beyond tools (novox/hq ADR
 // 0259 §3, to-be 46 §10).
@@ -24,6 +27,10 @@ import "sort"
 // And one read: **a holder's records**, a bucket the seat names, read by each user under its own name only
 // (`$KV.<bucket>.<module>.>`), so an asker reads the state of its own asks and no other asker's.
 
+// BuildAskMaxDeliver bounds the deliveries of a build seat's ask (issue 1907): mesh-sdk delivery.AskMaxDeliver, written
+// here as the broker mirrors the catalogue rather than importing it.
+const BuildAskMaxDeliver = 5
+
 // KindedBenches are the seats that may be kinded (ADR 0234 §2): making another is a decision, recorded.
 var KindedBenches = map[string]bool{"channel": true, "intake": true}
 
@@ -190,10 +197,10 @@ func SeatTrafficObjects(users []Principal) ([]Stream, []Consumer) {
 	consumers := map[string]Consumer{}
 	add := func(module string, holds []Seat) {
 		for _, w := range SeatTrafficOf(module, holds, nil, nil).Workers {
-			seat := ""
+			seat, byKind := "", false
 			for _, s := range holds {
 				if seatStreamName(s.Name) == w.Stream {
-					seat = s.Name
+					seat, byKind = s.Name, s.PulledByKind
 				}
 			}
 			streams[w.Stream] = Stream{
@@ -203,7 +210,7 @@ func SeatTrafficObjects(users []Principal) ([]Stream, []Consumer) {
 				MaxAge:    7 * 24 * 60 * 60,
 				Why:       "work submitted to the " + seat + " seat; its holders take it, each kind its own, and it queues while nobody does",
 			}
-			consumers[w.Consumer] = Consumer{
+			c := Consumer{
 				Name:           w.Consumer,
 				Stream:         w.Stream,
 				Filters:        []string{w.Filter},
@@ -214,6 +221,15 @@ func SeatTrafficObjects(users []Principal) ([]Stream, []Consumer) {
 				Why: module + " holds " + seat + "; it pulls one ask at a time and acknowledges once it has " +
 					"recorded it, so a crash redelivers rather than loses",
 			}
+			if byKind {
+				// A build seat's ask is offered a bounded number of times (issue 1907): the holder that takes it past
+				// mesh-sdk delivery.AskRuns ends it failed saying it is poison, and the bound stops a run that kills
+				// every node it reaches even when that holder dies too.
+				c.MaxDeliver = BuildAskMaxDeliver
+				c.Why = module + " holds " + seat + "; each holder pulls an ask when it has a free slot, and an ask that " +
+					"no run ends is offered at most " + fmt.Sprint(BuildAskMaxDeliver) + " times, its step failed as poison"
+			}
+			consumers[w.Consumer] = c
 		}
 	}
 	for _, p := range users {
diff --git a/internal/broker/seattraffic_test.go b/internal/broker/seattraffic_test.go
index 26295f02..cfe8218b 100644
--- a/internal/broker/seattraffic_test.go
+++ b/internal/broker/seattraffic_test.go
@@ -428,6 +428,12 @@ func TestTheBuilderMayAskABuildSeatAndASessionMayNot(t *testing.T) {
 	if len(consumers) != 3 {
 		t.Errorf("consumers = %+v, want the three kinds' workers", consumers)
 	}
+	// 1907: a build ask is offered a bounded number of times, past the holder's poison count (mesh-sdk AskRuns 3).
+	for _, c := range consumers {
+		if c.MaxDeliver != BuildAskMaxDeliver || BuildAskMaxDeliver <= 3 {
+			t.Errorf("%s offers an ask %d times, want %d", c.Name, c.MaxDeliver, BuildAskMaxDeliver)
+		}
+	}
 	if _, made := HolderConsumerFor("shanks", "mesh-build-go", DeclaredSeat{Name: "node-build-go", Accepts: buildSeat().Accepts, PulledByKind: true}); made {
 		t.Error("a catch-all worker would overlap the kinds' workers on the work queue")
 	}