Su-Chi & Transmute Artifact

[Zhalfirin]

Let's say I have UU in my pool and no other mana available.  I then play Transmute Artifact, sacrificing Su-Chi as the additional cost.  I then find Sundering Titan via Transmute Artifact.  Will I have the 4 mana from Su-Chi going to the graveyard to pay the additional mana to get Titan into play?  Or will that not have resolved?

In short, does Su-Chi's "to graveyard from play" trigger resolve like a mana ability (immediately) because the effect produces mana or does it wait to resolve like any other trigger?

[Jacob Orlove]

Sacrificing Su-Chi is part of the cost of playing Transmute Artifact. Thus, you will have the mana by the time transmute resolves:

Transmute Artifact
UU
Sorcery
As an additional cost to play Transmute Artifact, sacrifice an artifact.
Search your library for an artifact card. If that card's converted mana cost is less than or equal to the sacrificed artifact's converted mana cost, put it into play. If it's greater, you may pay the cost difference. If you do, put it into play. If you don't, put it into its owner's graveyard. Then shuffle your  library.

edit: triggered mana abilities go on the stack, unless they trigger off a mana ability (eg Eladamri's Vineyard uses the stack, Wild Growth does not).

[Zhalfirin]

 Of course.  Duh!

So if Transmute Artifact made the player sacrifice the artifact on resolution of the spell, then the player could not use Su-Chi's mana.

Thanks.