Backport 10.1: Ensure long living Relay streams do not timeout

Clemens Beckrequested to merge
cb/kas-timeout-followup-191 into 10-1-stable

What does this MR do?

Backport !5178 (merged) to GitLab 19.1/chart 10.1.

This intentionally has no changelog entry as it fixes a bug introduced in (the backpoort of) !5156 (merged) which is not released yet.

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