Follow the steps.
1. Declare Spell
2. Pay Costs (here is where you pay for the spell)
3. Counter Spell
4. Resolve Spell (here is where an attack is generated leading to the attack steps)
1. Declare Attack
2. Pay Costs (you've already paid for the spell, but if something makes you pay for the attack, such as a Suppression Cloak, then you must pay that cost now).
3. Roll to Miss (here is where you resolve the Daze condition)
etc
Remember that a crucial key rule in Mage Wars is that nothing is ever retroactive. You can not ever affect the past. Thus, if you simply follow the steps, it will help you figure out questions like this. Since the Daze is resolved after costs have been paid, it is incapable of affecting the cost. You've already paid by that point and that's that.