feat: update API list in docs with script

[beckermr]

This PR runs the docs update when building the docs.

[beckermr]

pre-commit.ci autofix

[codspeed-hq]

Merging this PR will degrade performance by 38.15%

⚠️ Unknown Walltime execution environment detected

Using the Walltime instrument on standard Hosted Runners will lead to inconsistent data.

For the most accurate results, we recommend using CodSpeed Macro Runners: bare-metal machines fine-tuned for performance measurement consistency.

⚠️ Different runtime environments detected

Some benchmarks with significant performance changes were compared across different runtime environments,
which may affect the accuracy of the results.

Open the report in CodSpeed to investigate

❌ 1 regressed benchmark
✅ 35 untouched benchmarks

⚠️ Please fix the performance issues or acknowledge them on CodSpeed.

Performance Changes

	Mode	Benchmark	BASE	HEAD	Efficiency
❌	WallTime	test_benchmark_moffat_init[run]	59 µs	95.3 µs	-38.15%

---

_{Comparing autodoc (329c6a2) with main (3b2bb78)}