It is preferable to have a separate section for "Tickets", Emails, Calls tickets, and conversation that turned into tickets be separated from the general chat of the conversation section.
There we can have the following subgroups:
A- unassigned tickets
B- My open tickets
1- Open
2- Pending
3- solved
4- spam
5- All tickets
And from sub groups should be able to filter by multi selection
  1. status
  2. By Agent
  3. By label
  4. By Date:
  5. By Inbox / Inboxes
  6. by Assignment: assigned or not assigned
  7. Rating - rated bad or good