feat(data-collection): split generative-AI input/output collection

[ericapisani]

Part of the data_collection split — depends on #6676 (foundation).

Splits gen-AI content gates into input/output and changes include_prompts from bool=True to Optional[bool]=None (defer-to-global) across the AI integrations.

[github-actions]

Codecov Results 📊

✅ 89115 passed | ❌ 1 failed | ⏭️ 5890 skipped | Total: 95006 | Pass Rate: 93.8% | Execution Time: 315m 42s

📊 Comparison with Base Branch

Metric	Change
Total Tests	📉 -1450
Passed Tests	📉 -1036
Failed Tests	📈 +1
Skipped Tests	📉 -415

➕ New Tests (1)

View new tests

• test_embeddings_create_with_list_input[False-False]
  • File: tests.integrations.litellm.test_litellm
  • Status: ❌ Failing

❌ Failed Tests

test_embeddings_create_with_list_input[False-False]

File: tests.integrations.litellm.test_litellm
Suite: py3.12-litellm-v1.77.7
Error: assert 0 == 1 + where 0 = len([])

Stack Trace

tests/integrations/litellm/test_litellm.py:1031: in test_embeddings_create_with_list_input
    assert len(spans) == 1
E   assert 0 == 1
E    +  where 0 = len([])

✅ Patch coverage is 96.63%. Project has 2419 uncovered lines.
✅ Project coverage is 89.93%. Comparing base (base) to head (head).

Files with missing lines (3)

File	Patch %	Lines
sentry_sdk/integrations/langchain.py	81.25%	⚠️ 3 Missing
sentry_sdk/integrations/google_genai/streaming.py	100.00%	⚠️ 1 partials
sentry_sdk/integrations/pydantic_ai/utils.py	100.00%	⚠️ 1 partials

Coverage diff

@@            Coverage Diff             @@
##          main       #PR       +/-##
==========================================
+ Coverage    89.92%    89.93%    +0.01%
==========================================
  Files          192       193        +1
  Lines        23809     24020      +211
  Branches      8218      8306       +88
==========================================
+ Hits         21409     21601      +192
- Misses        2400      2419       +19
- Partials      1339      1357       +18

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