Extract `deploy_api_docs` job into its own Workflow (#15022) #12529

Job	Run time
check_format	1m 40s
x86_64-gnu-test-preview_mt	5m 50s
x86_64-musl-test	39m 19s
x86_64-gnu-test (1.7.3)	34m 1s
x86_64-gnu-test (1.8.2)	36m 18s
x86_64-gnu-test (1.9.2)	34m 45s
x86_64-gnu-test (1.10.1)	36m 37s
x86_64-gnu-test (1.11.2)	34m 23s
x86_64-gnu-test (1.12.2)	37m 14s
x86_64-gnu-test (1.13.3)	36m 7s
x86_64-gnu-test (1.14.0)	36m 27s
x86_64-gnu-test (1.0.0, FLAGS=-Dwithout_ffi USE_PCRE1=true)	34m 45s
x86_64-gnu-test (1.1.1, FLAGS=-Dwithout_ffi USE_PCRE1=true)	34m 5s
x86_64-gnu-test (1.2.2, USE_PCRE1=true)	34m 5s
x86_64-gnu-test (1.3.2, USE_PCRE1=true)	34m 57s
x86_64-gnu-test (1.4.1, USE_PCRE1=true)	35m 37s
x86_64-gnu-test (1.5.1, USE_PCRE1=true)	34m 34s
x86_64-gnu-test (1.6.2, USE_PCRE1=true)	34m 8s
	9h 34m 52s

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