[4/n] feat(state): Process deposits with proof verification and beacon state deposit root

[calbera]

NOT backwards compatible with boonet

[codecov]

Codecov Report

Attention: Patch coverage is 36.32479% with 149 lines in your changes missing coverage. Please review.

Project coverage is 31.55%. Comparing base (566d431) to head (e607ee2).

Files with missing lines	Patch %	Lines
state-transition/core/state_processor_staking.go	52.17%	13 Missing and 9 partials ⚠️
execution/deposit/contract.go	0.00%	21 Missing ⚠️
storage/deposit/store.go	63.46%	16 Missing and 3 partials ⚠️
state-transition/core/state_processor_genesis.go	40.74%	5 Missing and 11 partials ⚠️
consensus/cometbft/service/genesis.go	0.00%	10 Missing ⚠️
beacon/validator/block_builder.go	0.00%	9 Missing ⚠️
storage/beacondb/eth1.go	0.00%	9 Missing ⚠️
storage/deposit/merkle/tree.go	47.05%	9 Missing ⚠️
beacon/blockchain/pruning.go	0.00%	8 Missing ⚠️
beacon/blockchain/deposit.go	0.00%	7 Missing ⚠️
... and 8 more

Additional details and impacted files

@@                 Coverage Diff                  @@
##           deposit-datatype    #2287      +/-   ##
====================================================
- Coverage             31.73%   31.55%   -0.19%     
====================================================
  Files                   338      337       -1     
  Lines                 15709    15533     -176     
  Branches                 20       20              
====================================================
- Hits                   4985     4901      -84     
+ Misses                10375    10288      -87     
+ Partials                349      344       -5     

Files with missing lines	Coverage Δ
beacon/blockchain/execution_engine.go	0.00% <ø> (ø)
beacon/blockchain/payload.go	0.00% <ø> (ø)
beacon/blockchain/process_proposal.go	0.00% <ø> (ø)
consensus-types/types/body.go	76.28% <ø> (ø)
node-core/components/chain_service.go	0.00% <ø> (ø)
node-core/components/service_registry.go	0.00% <ø> (ø)
primitives/merkle/proof.go	86.04% <100.00%> (-0.63%)	⬇️
state-transition/core/state_processor.go	41.94% <ø> (+2.57%)	⬆️
storage/deposit/merkle/helpers.go	79.16% <100.00%> (-0.57%)	⬇️
storage/deposit/merkle/node.go	49.65% <100.00%> (ø)
... and 18 more