Fix `publish` workflow #1576

Job	Run time
Check	1m 7s
Run wasm-bindgen crate tests (unix)	7m 26s
Clippy	5m 13s
Verify that web-sys is compiled correctly	52s
Run js-sys crate tests	2m 5s
Rustfmt	13s
Run native tests	1m 47s
Run wasm-bindgen crate tests with multithreading enabled	1m 30s
Run web-sys crate tests	8m 3s
Run wasm-bindgen-webidl crate tests	2m 13s
build_benchmarks	52s
build_examples	3m 26s
build_nightly	1m 45s
dist_linux_aarch64_gnu	2m 50s
dist_linux_x86_64_musl	2m 27s
dist_macos_aarch64	2m 24s
dist_macos_x86_64	3m 21s
dist_windows	2m 44s
Build and test the deno example	52s
Test TypeScript output of wasm-bindgen	1m 4s
Run UI compile-fail tests	4m 45s
doc_api	1m 12s
doc_book	10s
test_examples	2m 2s
deploy	2m 13s
	1h 2m 36s

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