diff --git a/crates/running-process/tests/async_api/async_process_session_test.rs b/crates/running-process/tests/async_api/async_process_session_test.rs
index 1b709e46..b1a3f78e 100644
--- a/crates/running-process/tests/async_api/async_process_session_test.rs
+++ b/crates/running-process/tests/async_api/async_process_session_test.rs
@@ -519,9 +519,18 @@ async fn session_post_exit_grace_is_a_cumulative_pipe_read_budget() {
     }
     assert!(abandoned, "drip writer is abandoned after cumulative grace");
     let text = String::from_utf8_lossy(&transcript);
+    // The drip writer shares the pipe and starts writing `.` as soon as it is
+    // spawned, which can be before the holder prints its PID line. The marker
+    // can therefore follow drip bytes with no whitespace in between (e.g.
+    // `.GRANDCHILD_PID=123`), so search for it anywhere rather than as a
+    // whitespace-delimited word prefix.
     let pid = text
-        .split_whitespace()
-        .find_map(|word| word.strip_prefix("GRANDCHILD_PID="))
+        .split_once("GRANDCHILD_PID=")
+        .map(|(_, rest)| {
+            rest.chars()
+                .take_while(char::is_ascii_digit)
+                .collect::<String>()
+        })
         .and_then(|pid| pid.parse::<i32>().ok())
         .expect("fixture reports drip-writer pid");
     let kill_result = unsafe { libc::kill(pid, libc::SIGKILL) };
diff --git a/crates/running-process/tests/daemon-registration-consumer/pass/Cargo.lock b/crates/running-process/tests/daemon-registration-consumer/pass/Cargo.lock
index ab23cda3..201126fe 100644
--- a/crates/running-process/tests/daemon-registration-consumer/pass/Cargo.lock
+++ b/crates/running-process/tests/daemon-registration-consumer/pass/Cargo.lock
@@ -583,7 +583,7 @@ checksum = "d6f6ff9a378485b298a5286656da665ba74413d36db0979633275d2e708145d4"
 
 [[package]]
 name = "running-process"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "libc",
  "prost",
@@ -604,7 +604,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-platform-internal"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "dirs",
  "libc",
@@ -617,7 +617,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-protocol"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "prost",
  "prost-build",
diff --git a/crates/running-process/tests/daemon-registration-v2-consumer/fail-client/Cargo.lock b/crates/running-process/tests/daemon-registration-v2-consumer/fail-client/Cargo.lock
index 0ec1ef36..fe31f108 100644
--- a/crates/running-process/tests/daemon-registration-v2-consumer/fail-client/Cargo.lock
+++ b/crates/running-process/tests/daemon-registration-v2-consumer/fail-client/Cargo.lock
@@ -535,7 +535,7 @@ checksum = "d6f6ff9a378485b298a5286656da665ba74413d36db0979633275d2e708145d4"
 
 [[package]]
 name = "running-process"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "libc",
  "prost",
@@ -555,7 +555,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-platform-internal"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "dirs",
  "libc",
@@ -568,7 +568,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-protocol"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "prost",
  "prost-build",
diff --git a/crates/running-process/tests/daemon-registration-v2-consumer/pass/Cargo.lock b/crates/running-process/tests/daemon-registration-v2-consumer/pass/Cargo.lock
index 0f4d9757..35fa6d4d 100644
--- a/crates/running-process/tests/daemon-registration-v2-consumer/pass/Cargo.lock
+++ b/crates/running-process/tests/daemon-registration-v2-consumer/pass/Cargo.lock
@@ -535,7 +535,7 @@ checksum = "d6f6ff9a378485b298a5286656da665ba74413d36db0979633275d2e708145d4"
 
 [[package]]
 name = "running-process"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "libc",
  "prost",
@@ -555,7 +555,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-platform-internal"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "dirs",
  "libc",
@@ -568,7 +568,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-protocol"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "prost",
  "prost-build",
diff --git a/crates/running-process/tests/frame-v1-codec-consumer/fail-first-party/Cargo.lock b/crates/running-process/tests/frame-v1-codec-consumer/fail-first-party/Cargo.lock
index 2c99fc4d..dad0c71f 100644
--- a/crates/running-process/tests/frame-v1-codec-consumer/fail-first-party/Cargo.lock
+++ b/crates/running-process/tests/frame-v1-codec-consumer/fail-first-party/Cargo.lock
@@ -477,7 +477,7 @@ checksum = "d6f6ff9a378485b298a5286656da665ba74413d36db0979633275d2e708145d4"
 
 [[package]]
 name = "running-process"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "libc",
  "prost",
@@ -497,7 +497,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-platform-internal"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "libc",
  "sysinfo",
@@ -509,7 +509,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-protocol"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "prost",
  "prost-build",
diff --git a/crates/running-process/tests/frame-v1-codec-consumer/fail-reserved/Cargo.lock b/crates/running-process/tests/frame-v1-codec-consumer/fail-reserved/Cargo.lock
index c541ae72..11965350 100644
--- a/crates/running-process/tests/frame-v1-codec-consumer/fail-reserved/Cargo.lock
+++ b/crates/running-process/tests/frame-v1-codec-consumer/fail-reserved/Cargo.lock
@@ -477,7 +477,7 @@ checksum = "d6f6ff9a378485b298a5286656da665ba74413d36db0979633275d2e708145d4"
 
 [[package]]
 name = "running-process"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "libc",
  "prost",
@@ -497,7 +497,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-platform-internal"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "libc",
  "sysinfo",
@@ -509,7 +509,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-protocol"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "prost",
  "prost-build",
diff --git a/crates/running-process/tests/frame-v1-codec-consumer/pass/Cargo.lock b/crates/running-process/tests/frame-v1-codec-consumer/pass/Cargo.lock
index 52ddd8a5..e846932a 100644
--- a/crates/running-process/tests/frame-v1-codec-consumer/pass/Cargo.lock
+++ b/crates/running-process/tests/frame-v1-codec-consumer/pass/Cargo.lock
@@ -477,7 +477,7 @@ checksum = "d6f6ff9a378485b298a5286656da665ba74413d36db0979633275d2e708145d4"
 
 [[package]]
 name = "running-process"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "libc",
  "prost",
@@ -497,7 +497,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-platform-internal"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "libc",
  "sysinfo",
@@ -509,7 +509,7 @@ dependencies = [
 
 [[package]]
 name = "running-process-protocol"
-version = "4.10.12"
+version = "4.10.14"
 dependencies = [
  "prost",
  "prost-build",