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It is theoretically possible, but the real question is what are you trying to achieve with such a deployment?

I'm trying to build a pulsar cluster that will tolerate one data center down out of 3

geo-replication is probably better choice for this case.

+1 to geo-replication approach. While, you can deploy a pulsar cluster that is “stretched” across 3 data centers, it isn’t practical from a performance perspective.