Will I not get an Extreme Weapon doing them for the first time?

[Huntington]

You can grab the Quest once a week, after finishing it. It does not matter how long you need for finishing one quest, so yes you can take your time and complete them in 1 month, then turn them in. then the quest will be locked until the next week. You can indeed finish them every week, but you are not forced to.

Okay good, so whenever I decide to try my hand at Ifrit EM, even if it's next week, I'll still be able to get one weapon from finishing all three even if there were gaps in-between each fight?