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I DARE to disagree, sniper.
When you enter the Arcane Tower, you are offered something to upgrade. You choose, for example, the attack. In exchange, the tower offers to reduce the defense. So, here you need to refuse the tower, and the tower will offer the next parameter - spell power. If you refuse this parameter as well, the next will be knowledge.
The Time Market is indeed a useful thing, especially when playing against a human and not a computer, if no reloads were agreed upon at the beginning.
And what is the garrison?
I remembered a couple more places:
Mirror of the Way Home. It works like a city portal.
Stones of Summoning. The object looks like Stonehenge and allows you to transfer troops from the castle directly to the hero visiting the object.