chore(sync-tools): implement `waitUntilElectionResults` #37673

Job	Run time
pre_check / Check preconditions and cancel previous jobs	6s
test-docker-build	39m 6s
deployment-test	31m 48s
getting-started (link-cli/yarn)	10m 25s
getting-started (registry/yarn)	14m 27s
getting-started (registry/npm)	13m 59s
getting-started (registry/npx)	14m 16s
test-multichain-e2e / Multichain E2E (Fast USDC) / multichain-e2e	12m 0s
test-multichain-e2e / Multichain E2E (Orchestration API) / multichain-e2e	34m 17s
finalize-integration-result	4s
	2h 50m 28s

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