Mark Main wrote:

I relabeled my wires (A,B,C,A1,B2,C3 became 4,5,6,7,8,9 respectively),
and so here is where I have continuity beeps as it stands today:

4+5+6, 1+7, 2+8, and 3+9

Assuming this is correct then it seems that my next step is to do the
following wire connections:

L1+1+7
L2+2+8
L3+3+9
4+5+6

In addition to the connections above, I also need to reconnect the 2
white wires from the motor that I labeled C2 and C3 because they were
originally connected to wire 2 and 3 respectively.

Let me know if this sounds correct to the group. Thanks again for all
of your help.

i dont know what the white wires are for..... usually they are for a
thermal overload indication, but not connected to the input voltage.
There is normally only the nine wires needed to run the motor.

John