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The number of pets a character can place on a stable master is based upon an average of 3 skills:
Taming, Veterinary, and Animal Lore.
If the total (adjusted value) of these 3 skills (Taming plus Veterinary plus Animal Lore) is
below 160, two pets may be stabled.
between 160 and 199.9, three pets may be stabled.
between 200 and 239.9, four pets may be stabled.
at or above 240, five pets may be stabled.
Additional stable slots are granted for reaching 100.0, 110.0 and 120.0 in Animal Taming, Animal Lore or Veterinary.
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5 base then one for each time a skill hits 100, 110, and 120
max of 14 stable slots.