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ARROW-14505: [CI][Docs] Exercise documentation builds more frequently

Closes #11567 from kszucs/build-docs-on-main-branch

Lead-authored-by: Krisztián Szűcs <szucs.krisztian@gmail.com>
Co-authored-by: Sutou Kouhei <kou@cozmixng.org>
Signed-off-by: Krisztián Szűcs <szucs.krisztian@gmail.com>