Bloom/Cuckoo filter in Redis clutser

hi,
We plan to use bloom/cuckoo filter with 100 million items or more. We tested it, and its taking around 500mb in Redis.

The filter is a single key. eg.
Filterkey: test-filter-1
all 100M items are inserted into test-filter-1

Question: If we have 3 node Redis cluster. Is this filter ( test-filter-1 ) spread across all 3 node? Will the reading/writing operation on the filter be handled by all 3 nodes or by only one node?

Thanks

Shalom,
Each key is stored on a single node, and that node handle both reads and writes to/from the key.