chore: move shared pcs functionality to internal library in solidity and small refactorings in sumcheck #33893

Job	Run time
configure	7s
base-images	6s
ci-noir-bb	14m 28s
bb-native-tests	12m 24s
bootstrap	8m 15s
bb-bench	10m 49s
acir-bench	0s
docs	8m 25s
images-e2e	10m 14s
ci-rest	15m 8s
e2e-prover-full	0s
bench-e2e	0s
kind-network-smoke	0s
e2e (e2e_2_pxes)	9m 18s
e2e (e2e_amm)	5m 16s
kind-network-test	0s
e2e (e2e_authwit)	3m 45s
e2e (e2e_avm_simulator)	7m 50s
e2e (e2e_block_building)	8m 15s
e2e (e2e_cheat_codes)	3m 47s
e2e (e2e_cross_chain_messaging)	6m 56s
e2e (e2e_crowdfunding_and_claim)	4m 55s
e2e (e2e_deploy_contract)	5m 28s
e2e (e2e_epochs)	10m 24s
e2e (e2e_fees_failures)	5m 40s
e2e (e2e_fees_gas_estimation)	4m 10s
e2e (e2e_fees_private_payments)	6m 32s
e2e (e2e_lending_contract)	6m 4s
e2e (e2e_max_block_number)	3m 48s
e2e (e2e_nested_contract)	4m 21s
e2e (e2e_ordering)	5m 34s
e2e (e2e_prover_coordination)	4m 4s
e2e (e2e_prover_fake_proofs)	4m 21s
e2e (e2e_static_calls)	3m 50s
e2e (e2e_p2p_gossip)	5m 58s
e2e (guides_dapp_testing)	4m 49s
e2e (guides_sample_dapp)	3m 31s
e2e (guides_sample_dapp_ci)	4m 0s
e2e (guides_up_quick_start)	3m 56s
e2e (guides_writing_an_account_contract)	3m 39s
e2e (integration_l1_publisher)	4m 17s
boxes-test	8m 46s
prover-client-test	3m 57s
protocol-circuits-gates-report	7m 55s
public-functions-size-report	13s
merge-check	1s
notify	0s
	4h 5m 16s

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