Which Bysmiel Birbs? 
If referring to this - Mnemosyne - Pet Conjurer, I am retiring it since I recently tried cally with it and gave up like 5 minutes in… It takes too long and is not safe enough to warrant the slowness.
The Fluffy Squishy - Pet Conjurer :3 can still snooze through Cally though, so I can wholeheartedly recommend that. Though obviously not 100 afk since you do have to cast Curse, Heal, resummon pets, etc.