Solution
The PXI-6704 module has only one DAC shared across all 32 analog output channels, meaning it supports only one analog output task at a time. Hence, only one task per device should be set up to avoid this behavior.
Some of the workarounds are:
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Calling the two DAQmx Write Analog VIs sequentially when connecting them through an error wire.
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Wrapping the DAQmx Write Analog VI inside a non-reentrant subVI, allowing only one instance to execute at a time.