Pet for mage

Best stat pet for mage? Budget 10-20m

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Timur

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No single pet can accomodate all scenarios and I believe having multiple pets for different scenarios Trump a single op pet who has to be fed every 15 mins. Instead multiple pets give option to switch easily and save gold in long term. And dont open arcane and heroic pets at all if your not rich. Just slot on myths.
I would advice u to get:
Cheap mythic or arcane with good passive as base:
zhu, fuz, shen, samael, etc. Look in myth too, many decent like grimm are very cheap.
For HB:
Stats, stack dmg, crit: hero lammy (I like this the best due to crit increase by 20)
Stats, dmg, Gl and luck: feng/timur
Stats, dmg stack, haste, ms: garlic/arc sentinel
Stats, dmg stack, dmg reduc stack: arc precious
For aa:
Glow/venim/shoggoth/arc wiger Or wiger/mephisto/hero fatima Or fatima/groucho/timur/hero tad or tad..... Etc

This is not a exhaustive list, I have forgotten many good pets for sure. So anyone is welcome to suggest modifications.

Base - Nekro
HB - Garlic
AA - Arcanite Were