Azami doesn't require you to wait a turn bc of summoning sickness. Being that you can tap any wizard that you control and is untapped (obviously) you can use on turn one. If the tap symbol was present then it would be a different story but then you would only be able to tap Azami and it would change the whole ability to something different.

but what if Azami, Lady of Scrolls is in my hand?

what about the card Mortal Combat

Remove budget tag. Over 1k is definitely not budget

"Budget"

This is a traditional list of a Legacy deck called “Oops All Spells!” for the unaware

Btw Probe is banned

Easy way to make this Legacy legal is to swap out Gitaxian Probe for Peek. Yes, it's annoying that you can't shock it into play anymore, but it is "almost" the same, and legal to play.

Scal3s sadly the deck doesn’t have enough extra mana to justify playing a spell that costs mana. In this deck, probe is cast for 2 life 100% of the time.

Isn't this reliant on you not drawing the Dread Return, or Angel, or such on your first turn? - or is that why you say it only works ~ 40% of the time?