Hazoret's Monument's first ability reduces the cost of "[r]ed creature spells you cast" after applying alternative costs (such as dash) and additional costs (C.R. 601.2f, 702.109a). In general, the total cost of a spell is mana cost or alternative cost, plus additional costs, minus cost reductions (C.R. 601.2f). See also this thread. (Note that the cost reduction is 1, not one colorless mana [compare C.R. 107.4b with C.R. 107.4c]. See also this thread.)
The dash cost is an attribute of the dash ability, and the ability on the card doesn't change.
The cost you pay is reduced by . The cost you pay is a function of the dash cost and the Monument.
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The cost you pay is reduced by . The cost you pay is a function of the dash cost and the Monument.
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