chore: Try fix flakey public processor test #34397

Job	Run time
configure	8s
base-images	9s
ci-noir-bb	7s
bb-native-tests	10s
bootstrap	10m 34s
bb-bench	0s
acir-bench	0s
docs	6m 14s
images-e2e	10m 16s
ci-rest	14m 51s
kind-network-smoke	12m 34s
e2e (e2e_2_pxes)	5m 17s
bench-e2e	0s
e2e-prover-full	0s
e2e (e2e_amm)	4m 33s
kind-network-test	0s
e2e (e2e_authwit)	2m 29s
e2e (e2e_avm_simulator)	5m 40s
e2e (e2e_block_building)	6m 57s
e2e (e2e_cheat_codes)	2m 1s
e2e (e2e_cross_chain_messaging)	5m 36s
e2e (e2e_crowdfunding_and_claim)	3m 21s
e2e (e2e_deploy_contract)	4m 17s
e2e (e2e_epochs)	9m 18s
e2e (e2e_fees_failures)	3m 44s
e2e (e2e_fees_gas_estimation)	3m 15s
e2e (e2e_fees_private_payments)	5m 41s
e2e (e2e_lending_contract)	5m 33s
e2e (e2e_max_block_number)	2m 16s
e2e (e2e_nested_contract)	3m 11s
e2e (e2e_ordering)	4m 37s
e2e (e2e_prover_coordination)	2m 40s
e2e (e2e_prover_fake_proofs)	3m 11s
e2e (e2e_static_calls)	2m 37s
e2e (e2e_p2p_gossip)	5m 16s
e2e (guides_dapp_testing)	3m 39s
e2e (guides_sample_dapp)	2m 27s
e2e (guides_sample_dapp_ci)	2m 32s
e2e (guides_up_quick_start)	2m 54s
e2e (guides_writing_an_account_contract)	2m 27s
e2e (integration_l1_publisher)	2m 24s
boxes-test	8m 23s
public-functions-size-report	17s
protocol-circuits-gates-report	8m 23s
prover-client-test	0s
merge-check	1s
notify	0s
	3h 0m 0s

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