After paxos state is repaired in begin_and_repair_paxos we need to
re-check the state regardless if write back succeeded or not. This
is how the code worked originally but it was unintentionally changed
when co-routinized in 61b2e41a23.
Fixes#24630Closesscylladb/scylladb#24651
(cherry picked from commit 5f953eb092)
Closesscylladb/scylladb#24703