deployment: add liveness probe to hybrid environment overlays

[nimrod-starkware]

Cross-repo PR: https://github.com/starkware-industries/sequencer-devops/pull/717

Cross-repo PR: https://github.com/starkware-industries/sequencer-devops/pull/717

[reviewable-StarkWare]

This change is 

[nimrod-starkware]

Warning

This pull request is not mergeable via GitHub because a downstack PR is open. Once all requirements are satisfied, merge this PR as a stack on Graphite.
Learn more

• deployment: define common env #14196
• deployment: add gcp pod monitoring to hybrid environment overlays #14192
• deployment: add liveness probe to hybrid environment overlays #14191 👈 (View in Graphite)
• deployment: add readiness probe to hybrid environment overlays #14190
• deployment: add startup probe to hybrid environment overlays #14188
• deployment: add monitoring endpoint port to hybrid environment overlays #14187
• deployment: add service ports to hybrid environment overlays #14185
• deployment: move network and consensus ports to hybrid environment overlays #14183
• deployment: add component ports and urls to hybrid environment overlays #14181
• deployment: add recorder_url to hybrid environment overlays #14180
• deployment: add starknet_url to hybrid environment overlays #14179
• main

This stack of pull requests is managed by Graphite. Learn more about stacking.

[cursor]

PR Summary

Low Risk
Operational Kubernetes probe config only; no application logic or secrets, with restarts only after repeated failed health checks.

Overview
Enables Kubernetes liveness checks for hybrid sequencer deployments by adding a shared livenessProbe block to the mainnet, sepolia-alpha, and sepolia-integration common.yaml overlays.

Each overlay turns the probe on against /monitoring/alive (same path as the existing startup probe), with 10s period, 5 consecutive failures before restart, and a 3s timeout. Readiness (/monitoring/ready) is unchanged; this only adds restart behavior when the process stays up but stops responding as alive.

^{Reviewed by Cursor Bugbot for commit 0a4630d. Bugbot is set up for automated code reviews on this repo. Configure here.}