...Tanya can rely on the civilian to express opinions on what violence is locally understood as appropriate or acceptable, but that doesn't mean she should let her dictate the terms of engagement. After all, the whole point of this journey is going somewhere with a more functional society. Tanya needs to reason this out for herself.
Germanian rules of engagement... aren't relevant here, she's not acting as a military officer. She's a private individual about her private business, not the state's emissary, and she can recall the Germanian law for civilians with a bit of effort. A (legally) armed civilian who is unlawfully accosted or has an illegal toll extorted by threat of force on public land is allowed to shoot first in self-defense, even self-defense of property. The response ought to be proportionate, but if the robber is armed and employing his weapon as a threat it is legitimate to shoot first. That does not mean it is best to use lethal force right away; preserving the robber's life is commendable if it does not come at your own expense. As for taking their property in recompense, that is definitely illegal; the courts will determine the appropriate compensation, and furthermore if you killed them then that property may go to their next of kin.
In the absence of any courts in the land, this doctrine needs to be adjusted. Since there is no legal recourse taking the robber's own property is appropriate, both as a punishment suited to the crime and as a deterrent threat. However, if they only threatened you and you wounded them in self-defense then it could be argued there is less damage to recompense, Tanya doesn't know the legal precedents here. Taking or destroying their weapons in particular might serve the public good, although there is no local concept of firearms licensing or forbidding convicted criminals from carrying arms again.
What balance of actions would serve the public good? Travelers should challenge and drive off bandits. Killing them might even be a public service, but more will take their place, so it might be better to leave weak and wounded bandits around... In general, though, if private persons are compelled to defend themselves they should do it with more force than the police might employ, because they need to appear a bigger threat to achieve the same effect on would-be robbers.
"Then I think - in summary - we should negotiate passage, and if that fails threaten them, fire warning shots and escalate as the situation permits. If they attack us we should use lethal force, and if they explicitly threaten us and it's too dangerous to leave them the opportunity to attack us we should shoot first. After a fight we should take or destroy their weapons, both as punishment and hopefully as a service to other travelers. We should not take their other property if we don't actually know it was looted, unless they succeed in harming us in which case we may take them as recompense."