chore: Sync publish script with the main swc repo #269

Job	Run time
stable - x86_64-apple-darwin - node@16	12m 18s
stable - x86_64-pc-windows-msvc - node@16	12m 6s
stable - i686-pc-windows-msvc - node@16	5m 12s
stable - x86_64-unknown-linux-gnu - node@16	7m 52s
stable - x86_64-unknown-linux-musl - node@16	3m 20s
stable - aarch64-apple-darwin - node@16	22m 40s
stable - aarch64-unknown-linux-gnu - node@16	8m 19s
stable - armv7-unknown-linux-gnueabihf - node@16	45s
stable - aarch64-unknown-linux-musl - node@16	12m 4s
stable - aarch64-pc-windows-msvc - node@16	14m 22s
Test bindings on x86_64-unknown-linux-musl - node@${{ matrix.node }}	0s
Test bindings on aarch64-unknown-linux-gnu - node@${{ matrix.node }}	0s
Test bindings on ${{ matrix.settings.target }} - node@${{ matrix.node }}	0s
Test bindings on aarch64-unknown-linux-musl - node@${{ matrix.node }}	0s
Test bindings on armv7-unknown-linux-gnueabihf - node@${{ matrix.node }}	0s
Test bindings on Linux-x64-gnu - node@${{ matrix.node }}	0s
npm	0s
	1h 38m 58s

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