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Well, if you just deploy all your troops to fight against archers, everyone will suffer losses.
Regarding the Tower faction:
Furies can easily handle large numbers of slow infantry from the very beginning of the game without any losses. Stalkers can already fight archers with hero support from the start. If there are many enemies and few stalkers, you can create several small squads from the latter and use them to retaliate against enemies or disrupt their attacks.
Only a dragon can reach single archers from the Tower faction on the first try, if it doesn't have any additional speed. So, no matter what, they will also suffer losses.
With the Elves, you don't even need to worry and can afford to trade away a dozen fairies/fighters. Once archers appear, everything will become easier.
With the Orcs, Rage minimizes losses.