[release-19.0] Fix race in `replicationLagModule` of `go/vt/throttle` (#16078)#16899

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frouioui merged 3 commits intorelease-19.0from backport-16078-to-release-19.0

Oct 7, 2024

+135-15

Commits on Oct 5, 2024

Cherry-pick 9b999b2 with conflicts

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