chore: code to compilation file from gateway

[ArniStarkware]

This change is 

[ArniStarkware]

• chore: code to compilation file from gateway #344 : 3 dependent PRs (#297 , #319 , #348 ) 👈
• main

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[codecov-commenter]

Codecov Report

Attention: Patch coverage is 86.20690% with 8 lines in your changes missing coverage. Please review.

Project coverage is 82.50%. Comparing base (c553217) to head (0f229c0).

Files	Patch %	Lines
crates/gateway/src/compilation.rs	86.20%	5 Missing and 3 partials ⚠️

Additional details and impacted files

@@                                       Coverage Diff                                        @@
##           arni/declare/post_compilation/validation/trait_for_builtin_name     #344   +/-   ##
================================================================================================
  Coverage                                                            82.50%   82.50%           
================================================================================================
  Files                                                                   32       33    +1     
  Lines                                                                 1623     1623           
  Branches                                                              1623     1623           
================================================================================================
  Hits                                                                  1339     1339           
  Misses                                                                 219      219           
  Partials                                                                65       65           

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[ArniStarkware]

+reviewer:@Yael-Starkware

[ArniStarkware]

This PR is (almost only) copy-past of code from one file to another.

[ArniStarkware]

crates/gateway/src/gateway.rs line 37 at r1 (raw file):

pub mod gateway_test;

pub type GatewayResult<T> = Result<T, GatewayError>;

Moved to errors

Code quote:

pub type GatewayResult<T> = Result<T, GatewayError>;

[Yael-Starkware]

Reviewed 7 of 7 files at r1, all commit messages.
Reviewable status: complete! all files reviewed, all discussions resolved (waiting on @ArniStarkware)