fix(engine api): [1/3] error on engine API errors (revive #2485)

[shotes]

Revives #2485

[codecov]

Codecov Report

Attention: Patch coverage is 2.17391% with 45 lines in your changes missing coverage. Please review.

Project coverage is 32.35%. Comparing base (7d43017) to head (17729e5).

Files with missing lines	Patch %	Lines
beacon/blockchain/execution_engine.go	0.00%	17 Missing ⚠️
beacon/blockchain/finalize_block.go	0.00%	7 Missing ⚠️
execution/engine/metrics.go	0.00%	6 Missing ⚠️
execution/engine/engine.go	0.00%	5 Missing ⚠️
payload/builder/payload.go	0.00%	5 Missing ⚠️
beacon/validator/block_builder.go	0.00%	2 Missing ⚠️
state-transition/core/state_processor_payload.go	0.00%	2 Missing ⚠️
beacon/blockchain/process_proposal.go	0.00%	1 Missing ⚠️

Additional details and impacted files

@@            Coverage Diff             @@
##             main    #2508      +/-   ##
==========================================
+ Coverage   32.24%   32.35%   +0.10%     
==========================================
  Files         350      350              
  Lines       15653    15595      -58     
  Branches       20       20              
==========================================
- Hits         5047     5045       -2     
+ Misses      10243    10187      -56     
  Partials      363      363              

Files with missing lines	Coverage Δ
consensus-types/types/payload_requests.go	76.53% <ø> (-0.24%)	⬇️
primitives/transition/context.go	0.00% <ø> (ø)
testing/state-transition/state-transition.go	84.37% <100.00%> (-0.25%)	⬇️
beacon/blockchain/process_proposal.go	0.00% <0.00%> (ø)
beacon/validator/block_builder.go	0.00% <0.00%> (ø)
state-transition/core/state_processor_payload.go	26.92% <0.00%> (+0.25%)	⬆️
execution/engine/engine.go	0.00% <0.00%> (ø)
payload/builder/payload.go	20.12% <0.00%> (-0.40%)	⬇️
execution/engine/metrics.go	0.00% <0.00%> (ø)
beacon/blockchain/finalize_block.go	0.00% <0.00%> (ø)
... and 1 more