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There is a Legacy version here.

PFS StandardHorse

Source Player Core pg. 209
Your companion is a horse, pony, or similar equine.
Size Medium or Large
Melee [one-action] hoof (agile), Damage 1d6 bludgeoning
Str +3, Dex +2, Con +2, Int -4, Wis +1, Cha +0
Hit Points 8
Skill Survival
Senses low-light vision, scent (imprecise, 30 feet)
Speed 40 feet
Special mount
Support Benefit Until the start of your next turn, if you're mounted on your horse and moved 10 feet or more on the action before a melee Strike, add a circumstance bonus to damage for that Strike equal to twice the number of weapon damage dice. If your weapon already has the jousting weapon trait, increase the trait's damage bonus by 2 per die instead.
Advanced Maneuver Gallop

Gallop [two-actions]

Source Player Core pg. 209
The horse Strides twice at a +10-foot circumstance bonus to Speed.