[DEPENDENCY_REFACTOR] - Fix the ValidatedStateUpdated dependency in the quorum proposal and vote tasks

[shenkeyao]

What is this task and why do we need to work on it?

The quorum proposal and vote tasks should have no dependency on ValidatedStateUpdated. Instead, we should wait for the event before proceeding in handle_deps.

What work will need to be done to complete this task?

No response

Are there any other details to include?

Zulip discussion: https://espresso.zulipchat.com/#narrow/stream/311646-Consensus/topic/Dependency.20task.20refactor/near/443326357.

What are the acceptance criteria to close this issue?

The ValidatedStateUpdated dependency is removed from both tasks, but we won't handle the dependencies when the event isn't received.

Branch work will be merged to (if not the default branch)

No response