Prover: new beta-v1 contract

[AlexandreBelling]

This PR implements issue(s) #

Checklist

• I wrote new tests for my new core changes.
• I have successfully ran tests, style checker and build against my new changes locally.
• I have informed the team of any breaking changes if there are any.

[codecov-commenter]

Codecov Report

Attention: Patch coverage is 0% with 2 lines in your changes missing coverage. Please review.

Project coverage is 68.20%. Comparing base (574e0ef) to head (ce7bc0b).

Files with missing lines	Patch %	Lines
...s/contracts/verifiers/PlonkVerifierSepoliaFull.sol	0.00%	2 Missing ⚠️

Additional details and impacted files

@@             Coverage Diff              @@
##               main     #504      +/-   ##
============================================
- Coverage     68.21%   68.20%   -0.02%     
  Complexity     1128     1128              
============================================
  Files           319      320       +1     
  Lines         12846    12848       +2     
  Branches       1291     1291              
============================================
  Hits           8763     8763              
- Misses         3552     3554       +2     
  Partials        531      531              

Flag	Coverage Δ		*Carryforward flag
hardhat	98.54% <0.00%> (-0.21%)	⬇️
kotlin	65.75% <ø> (ø)		Carriedforward from 574e0ef

*This pull request uses carry forward flags. Click here to find out more.

Files with missing lines	Coverage Δ
...s/contracts/verifiers/PlonkVerifierSepoliaFull.sol	0.00% <0.00%> (ø)