Matching ODTs

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Hello ACES experts!

I have a ACES master that was graded with ODT.Academy.P3D60_48nits.
The company that will do the DCI mastering informed me that they want either DCDM or P3DCI as deliverable color space.

My question is this: Can I export any of those two directly from the master using the respective ODT or do I have to export using the ODT that was used in the DI and then convert that to P3D60?

It should look the same obviously.

Thank you very much,
Matthias