Replace AccountTypeManager usages in PeopleActivity

Changed usages of getAccounts to other methods that are safe to call
synchronously from UI thread (getAccounts may require DB query and
parsing).

Test manually verify that sync loading spinner disappears after
doing pull-to-refresh

Bug 33627801
Change-Id: I1ec162e0fd5214d36e96d1746ee26150caecab25
4 files changed