refactor: Add boolean method `Cairo1RunConfig::copy_to_output` + Update Doc

[fmoletta]

Replaces instances of cairo_run_config.proof_mode || cairo_run_config.append_return_values with cairo_run_config.copy_to_output() Updates Documentation to reflect previous changes

[github-actions[bot]]

**Hyper Thereading Benchmark results**

hyperfine -r 2 -n "hyper_threading_main threads: 1" 'RAYON_NUM_THREADS=1 ./hyper_threading_main' -n "hyper_threading_pr threads: 1" 'RAYON_NUM_THREADS=1 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 1
  Time (mean ± σ):     27.718 s ±  0.002 s    [User: 26.923 s, System: 0.794 s]
  Range (min … max):   27.716 s … 27.719 s    2 runs

Benchmark 2: hyper_threading_pr threads: 1
  Time (mean ± σ):     27.796 s ±  0.113 s    [User: 27.028 s, System: 0.766 s]
  Range (min … max):   27.716 s … 27.876 s    2 runs

Summary
  'hyper_threading_main threads: 1' ran
    1.00 ± 0.00 times faster than 'hyper_threading_pr threads: 1'

hyperfine -r 2 -n "hyper_threading_main threads: 2" 'RAYON_NUM_THREADS=2 ./hyper_threading_main' -n "hyper_threading_pr threads: 2" 'RAYON_NUM_THREADS=2 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 2
  Time (mean ± σ):     15.095 s ±  0.031 s    [User: 27.806 s, System: 0.770 s]
  Range (min … max):   15.073 s … 15.117 s    2 runs

Benchmark 2: hyper_threading_pr threads: 2
  Time (mean ± σ):     15.069 s ±  0.003 s    [User: 27.682 s, System: 0.806 s]
  Range (min … max):   15.067 s … 15.072 s    2 runs

Summary
  'hyper_threading_pr threads: 2' ran
    1.00 ± 0.00 times faster than 'hyper_threading_main threads: 2'

hyperfine -r 2 -n "hyper_threading_main threads: 4" 'RAYON_NUM_THREADS=4 ./hyper_threading_main' -n "hyper_threading_pr threads: 4" 'RAYON_NUM_THREADS=4 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 4
  Time (mean ± σ):     11.097 s ±  0.180 s    [User: 38.620 s, System: 1.018 s]
  Range (min … max):   10.970 s … 11.224 s    2 runs

Benchmark 2: hyper_threading_pr threads: 4
  Time (mean ± σ):     11.030 s ±  0.119 s    [User: 38.672 s, System: 0.982 s]
  Range (min … max):   10.946 s … 11.114 s    2 runs

Summary
  'hyper_threading_pr threads: 4' ran
    1.01 ± 0.02 times faster than 'hyper_threading_main threads: 4'

hyperfine -r 2 -n "hyper_threading_main threads: 6" 'RAYON_NUM_THREADS=6 ./hyper_threading_main' -n "hyper_threading_pr threads: 6" 'RAYON_NUM_THREADS=6 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 6
  Time (mean ± σ):     10.864 s ±  0.167 s    [User: 38.806 s, System: 1.022 s]
  Range (min … max):   10.746 s … 10.982 s    2 runs

Benchmark 2: hyper_threading_pr threads: 6
  Time (mean ± σ):     10.580 s ±  0.077 s    [User: 38.741 s, System: 1.030 s]
  Range (min … max):   10.526 s … 10.634 s    2 runs

Summary
  'hyper_threading_pr threads: 6' ran
    1.03 ± 0.02 times faster than 'hyper_threading_main threads: 6'

hyperfine -r 2 -n "hyper_threading_main threads: 8" 'RAYON_NUM_THREADS=8 ./hyper_threading_main' -n "hyper_threading_pr threads: 8" 'RAYON_NUM_THREADS=8 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 8
  Time (mean ± σ):     10.486 s ±  0.079 s    [User: 39.218 s, System: 1.030 s]
  Range (min … max):   10.430 s … 10.542 s    2 runs

Benchmark 2: hyper_threading_pr threads: 8
  Time (mean ± σ):     10.582 s ±  0.126 s    [User: 39.076 s, System: 0.991 s]
  Range (min … max):   10.493 s … 10.671 s    2 runs

Summary
  'hyper_threading_main threads: 8' ran
    1.01 ± 0.01 times faster than 'hyper_threading_pr threads: 8'

hyperfine -r 2 -n "hyper_threading_main threads: 16" 'RAYON_NUM_THREADS=16 ./hyper_threading_main' -n "hyper_threading_pr threads: 16" 'RAYON_NUM_THREADS=16 ./hyper_threading_pr'
Benchmark 1: hyper_threading_main threads: 16
  Time (mean ± σ):     10.547 s ±  0.046 s    [User: 39.499 s, System: 1.149 s]
  Range (min … max):   10.515 s … 10.580 s    2 runs

Benchmark 2: hyper_threading_pr threads: 16
  Time (mean ± σ):     10.566 s ±  0.320 s    [User: 39.520 s, System: 1.092 s]
  Range (min … max):   10.340 s … 10.792 s    2 runs

Summary
  'hyper_threading_main threads: 16' ran
    1.00 ± 0.03 times faster than 'hyper_threading_pr threads: 16'

[codecov[bot]]

Codecov Report

All modified and coverable lines are covered by tests :white_check_mark:

Project coverage is 94.78%. Comparing base (05352b1) to head (d9c0c21).

Additional details and impacted files

```diff @@ Coverage Diff @@ ## main #1778 +/- ## ======================================= Coverage 94.78% 94.78% ======================================= Files 101 101 Lines 39005 39014 +9 ======================================= + Hits 36969 36978 +9 Misses 2036 2036 ```

:umbrella: View full report in Codecov by Sentry.
:loudspeaker: Have feedback on the report? Share it here.

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Benchmark Results for unmodified programs :rocket:

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_factorial	2.073 ± 0.022	2.053	2.106	1.00
head big_factorial	2.096 ± 0.030	2.057	2.133	1.01 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base big_fibonacci	2.054 ± 0.037	2.012	2.120	1.01 ± 0.02
head big_fibonacci	2.039 ± 0.017	1.996	2.061	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base blake2s_integration_benchmark	7.861 ± 0.150	7.624	8.007	1.00
head blake2s_integration_benchmark	7.971 ± 0.421	7.656	9.131	1.01 ± 0.06

Command	Mean [s]	Min [s]	Max [s]	Relative
base compare_arrays_200000	2.190 ± 0.046	2.148	2.291	1.01 ± 0.03
head compare_arrays_200000	2.176 ± 0.044	2.132	2.287	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base dict_integration_benchmark	1.419 ± 0.024	1.399	1.471	1.00
head dict_integration_benchmark	1.422 ± 0.012	1.407	1.452	1.00 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base field_arithmetic_get_square_benchmark	1.321 ± 0.022	1.295	1.359	1.00 ± 0.02
head field_arithmetic_get_square_benchmark	1.316 ± 0.024	1.295	1.370	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base integration_builtins	7.884 ± 0.107	7.681	7.969	1.00
head integration_builtins	7.968 ± 0.475	7.600	8.978	1.01 ± 0.06

Command	Mean [s]	Min [s]	Max [s]	Relative
base keccak_integration_benchmark	8.119 ± 0.301	7.832	8.829	1.01 ± 0.04
head keccak_integration_benchmark	8.077 ± 0.149	7.838	8.214	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base linear_search	2.164 ± 0.086	2.112	2.399	1.02 ± 0.05
head linear_search	2.125 ± 0.044	2.090	2.244	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_cmp_and_pow_integration_benchmark	1.712 ± 0.037	1.688	1.814	1.01 ± 0.02
head math_cmp_and_pow_integration_benchmark	1.702 ± 0.014	1.680	1.733	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base math_integration_benchmark	1.627 ± 0.009	1.613	1.639	1.01 ± 0.01
head math_integration_benchmark	1.606 ± 0.006	1.597	1.618	1.00

Command	Mean [s]	Min [s]	Max [s]	Relative
base memory_integration_benchmark	1.227 ± 0.024	1.211	1.277	1.00
head memory_integration_benchmark	1.248 ± 0.064	1.213	1.427	1.02 ± 0.06

Command	Mean [s]	Min [s]	Max [s]	Relative
base operations_with_data_structures_benchmarks	1.821 ± 0.014	1.810	1.853	1.00
head operations_with_data_structures_benchmarks	1.829 ± 0.037	1.806	1.932	1.00 ± 0.02

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base pedersen	524.4 ± 5.2	520.0	538.2	1.00 ± 0.01
head pedersen	522.0 ± 3.5	518.2	528.6	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base poseidon_integration_benchmark	955.9 ± 4.3	950.1	961.9	1.00
head poseidon_integration_benchmark	960.1 ± 5.9	949.5	967.8	1.00 ± 0.01

Command	Mean [s]	Min [s]	Max [s]	Relative
base secp_integration_benchmark	1.888 ± 0.026	1.864	1.950	1.00 ± 0.02
head secp_integration_benchmark	1.882 ± 0.017	1.860	1.918	1.00

Command	Mean [ms]	Min [ms]	Max [ms]	Relative
base set_integration_benchmark	644.5 ± 3.8	639.5	649.2	1.00
head set_integration_benchmark	646.7 ± 10.3	640.1	674.9	1.00 ± 0.02

Command	Mean [s]	Min [s]	Max [s]	Relative
base uint256_integration_benchmark	4.285 ± 0.064	4.220	4.369	1.00
head uint256_integration_benchmark	4.316 ± 0.119	4.202	4.624	1.01 ± 0.03