Without the dog, the best way to fight a HR/Mage lineup would be to use 5 mage units. They will have the advantage against the HR and will be neutral against the other mages. But once things like a fed Fire Phoenix, Dragon Abbey bonus, and a Magnificent Mage building are taken into account, your mages are actually quite a bit better.Anybody have a different idea against HR and Mages -- especially with a dog thrown into the mix?
The dog complicates things. Under those circumstances I think it really matters exactly which HR unit you are facing. Steinlings and Crazy Cannoneers do not have that strong a buff against light melee. If those are the HR units then I would probably use dogs against a mage/HR/LM combo. Or possibly a combo of 3 dogs and 2 frogs, depending on how many mage units vs HR units there are.
However Orc Deserters have very strong buffs against LM but not nearly as much against LR. If the enemy HR unit is an Orc Deserter then I would not use dogs. If facing Mage/HR/ LM under these circumstances and the mages are the dominant unit I would probably go with 3 Rangers and 2 Frogs. If HR units are the dominant unit and there is only a single dog, I'd consider 3 mages and 2 frogs. Hopefully the frogs kill the dog before it eats too many mages. If it is mainly HR and dogs with a single mage, I might use 5 units of HM. They will take a few licks from the mage, but will be so strong against the HR and dogs they will eventually just overrun everything.