feat(transformer): sync Program::source_type after transform

[Boshen]

closes #5552

[graphite-app]

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[codspeed-hq]

CodSpeed Performance Report

Merging #5887 will not alter performance

_{Comparing 09-19-feat_transformer_sync_program_source_type_after_transform (a07f03a) with main (127c881)}

Summary

✅ 29 untouched benchmarks

[graphite-app]

Merge activity

• Sep 19, 10:40 AM EDT: The merge label '0-merge' was detected. This PR will be added to the Graphite merge queue once it meets the requirements.
• Sep 19, 10:40 AM EDT: Boshen added this pull request to the Graphite merge queue.
• Sep 19, 10:44 AM EDT: Boshen merged this pull request with the Graphite merge queue.