refactor(handler): provide &CallInputstoPrecompileProvider::run

[mablr]

Closes #2919

[codspeed-hq]

CodSpeed Performance Report

Merging #2921 will not alter performance

_{Comparing mablr:refactor/precompile_provider_run_call_inputs (f14c80d) with main (191fa78)¹}

Summary

✅ 173 untouched benchmarks

Footnotes

1. No successful run was found on main (d8fd92f) during the generation of this report, so 191fa78 was used instead as the comparison base. There might be some changes unrelated to this pull request in this report. ↩

[rakita]

Cool. lgtm