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Can you recommend a low price mixer?

The Pittsburghs and Doepfers are o.k.

Can a mixer perform the same role as the Pittsburgh Outs?

Euroracks have a very hot output, but with a mixer or an attenuator or vca you can bring the levels down.
An output module like the Pittsburgh Outs is an attenuator and just adds an adapter to the bigger 6.3 mm jacks, additional headphone outputs and normalizes mono signals to stereo.
As said, it is nice to have but not mandatory.