12:13a For in one Spirit we were all baptized into one body,

(New International Version) For we were all baptized by one Spirit into one body

For by/through the one Spirit we (incl.) all received baptism into one body.
-or-
For the one Spirit baptized us (incl.) all into one whole/unit.

12:13b whether Jews or Greeks, slave or free,

⌊It does not matter⌋ whether we (incl.) are Jews or Greeks, slaves or free people.
-or-

⌊This is for all of us⌋ including Jews and Greeks, including slaves and free people.

12:13c and we were all given one Spirit to drink.

God caused us (incl.) all to drink the same Spirit.
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And that one Spirit is like water that all of us can drink.

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