Refactor logical worker synchronization code into a separate file.

Refactor logical worker synchronization code into a separate file.

To support the upcoming addition of a sequence synchronization worker,
this patch extracts common synchronization logic shared by table sync
workers and the new sequence sync worker into a dedicated file. This
modularization improves code reuse, maintainability, and clarity in the
logical workers framework.

Author: vignesh C <vignesh21@gmail.com>
Author: Hou Zhijie <houzj.fnst@fujitsu.com>
Reviewed-by: shveta malik <shveta.malik@gmail.com>
Reviewed-by: Dilip Kumar <dilipbalaut@gmail.com>
Reviewed-by: Peter Smith <smithpb2250@gmail.com>
Reviewed-by: Hayato Kuroda <kuroda.hayato@fujitsu.com>
Reviewed-by: Chao Li <li.evan.chao@gmail.com>
Reviewed-by: Amit Kapila <amit.kapila16@gmail.com>
Discussion: https://postgr.es/m/CAA4eK1LC+KJiAkSrpE_NwvNdidw9F2os7GERUeSxSKv71gXysQ@mail.gmail.com