Fix peak_post_processing w/priority_mutex #30150

Job	Run time
Native 🐧 💪 Non-dev - Non-edit	2m 1s
Docker amazonlinux:2023 ARM64	1m 0s
Docker amazonlinux:2023 Intel	55s
Native 🐧 💪 Non-dev - Edit	2m 11s
Docker arch:latest Intel	58s
Native 🐧 💪 Dev - Non-edit	2m 5s
Docker debian:bullseye ARM64	57s
Native 🐧 💪 Dev - Edit	2m 18s
Docker debian:bullseye Intel	56s
Native 🐧 🌀 Non-dev - Non-edit	55s
Docker debian:bookworm ARM64	1m 3s
Native 🐧 🌀 Non-dev - Edit	48s
Docker debian:bookworm Intel	55s
Native 🐧 🌀 Dev - Non-edit	1m 1s
Docker fedora:37 ARM64	1m 10s
Native 🐧 🌀 Dev - Edit	48s
Docker fedora:37 Intel	1m 33s
Native 🍎 💪 Non-dev - Non-edit	1m 4s
Docker fedora:38 ARM64	1m 15s
Native 🍎 💪 Non-dev - Edit	56s
Docker fedora:38 Intel	1m 23s
Native 🍎 💪 Dev - Non-edit	1m 27s
Docker rockylinux:8 ARM64	1m 19s
Native 🍎 💪 Dev - Edit	52s
Docker rockylinux:8 Intel	1m 7s
Native 🍎 🌀 Non-dev - Non-edit	1m 30s
Docker rockylinux:9 ARM64	1m 24s
Native 🍎 🌀 Non-dev - Edit	1m 21s
Docker rockylinux:9 Intel	1m 0s
Native 🍎 🌀 Dev - Non-edit	1m 43s
Docker ubuntu:focal (20.04) ARM64	1m 41s
Native 🍎 🌀 Dev - Edit	1m 54s
Docker ubuntu:focal (20.04) Intel	1m 34s
Native 🪟 🌀 Non-dev - Non-edit	8m 55s
Docker ubuntu:jammy (22.04) ARM64	1m 28s
Native 🪟 🌀 Non-dev - Edit	8m 24s
Docker ubuntu:jammy (22.04) Intel	1m 27s
Native 🪟 🌀 Dev - Non-edit	9m 9s
Docker ubuntu:noble (24.04) ARM64	1m 35s
Native 🪟 🌀 Dev - Edit	8m 52s
Docker ubuntu:noble (24.04) Intel	1m 23s
	1h 24m 17s

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