Allow builds while watchers are running #9866

Job	Run time
build-compiler (macos-15-intel, 5.3.0, true, darwin-x64, x86_64-apple-darwin, release)	3m 38s
build-compiler (macos-15, 5.3.0, true, darwin-arm64, aarch64-apple-darwin, release)	2m 4s
test-devcontainer	10m 8s
build-compiler (ubuntu-24.04-arm, ocaml-variants.5.3.0+options,ocaml-option-static, true, true, t...	1m 44s
build-compiler (ubuntu-24.04, ocaml-variants.5.0.0+options,ocaml-option-static, linux-x64, x86_64...	1m 45s
build-compiler (ubuntu-24.04, ocaml-variants.5.3.0+options,ocaml-option-static, true, true, linux...	1m 50s
build-compiler (windows-2025, 5.3.0, true, win32-x64, x86_64-pc-windows-gnu, .exe, release)	4m 25s
api-docs	0s
test-integration-rewatch	0s
test-installation-npm	0s
test-installation-pnpm	0s
publish	0s
pkg-pr-new	0s
	25m 34s

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