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No – to hire 60 heroes, each costing 1 troglodyte, you need 150,000 gold – you won’t have that much. The conditions are simply not specified – that’s what the answer is.
Castle + Grail + heroes with a gold specialization will easily generate 10,000 gold per day, which totals 150,000 in the end... I have everything clearly defined here... :D And since there are no restrictions on the castle in the condition, we can choose any composition within the rules.
In general, tasks involving the management of limited resources are a treasure trove of ideas! There are so many possible variations... ;)