Is there any limit on number of remote clusters that can be setup for cross cluster search

Versions (relevant - OpenSearch/Dashboard/Server OS/Browser):
Opensearch 2.11, 2.8 and 2.3

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No, no limit on the number of remote clusters, but for each remote cluster, by default there are at most 3 connections maintained in the local cluster.

Thanks for the response, Would there be any performance degradation when number of remote clusters increase ?

So I can have only 3 connections from every cluster?
And I have probably same question like @amuthya123 if I have connected 1, 2 or 3 nodes to same cluster, is there some performance degradation?

The connections limit can be updated dynamically, check this document can help:Remote clusters | Elasticsearch Guide [7.10] | Elastic, but more remote clusters means more connections maintained in the local cluster, result in resource overhead, lower searching QPS, and higher searching latency, so the performance is poorer.