mm: merge writeout into pageout

mm: merge writeout into pageout

writeout is only called from pageout, and a straight flow at the end, so
merge the two functions.

Link: https://lore.kernel.org/20260601113449.3464734-3-hch@lst.de
Signed-off-by: Christoph Hellwig <hch@lst.de>
Reviewed-by: Baoquan He <baoquan.he@linux.dev>
Reviewed-by: Nhat Pham <nphamcs@gmail.com>
Acked-by: David Hildenbrand (Arm) <david@kernel.org>
Cc: Chris Li <chrisl@kernel.org>
Cc: Kairui Song <kasong@tencent.com>
Cc: Kemeng Shi <shikemeng@huaweicloud.com>
Signed-off-by: Andrew Morton <akpm@linux-foundation.org>