chore: Remove ai.monitoring.record_token_usage()

[alexander-alderman-webb]

Description

Inline uses of ai.monitoring.record_token_usage() and remove the function.

Issues

Closes #6894

Reminders

• Please add tests to validate your changes, and lint your code using uv run ruff.
• Add GH Issue ID & Linear ID (if applicable)
• PR title should use conventional commit style (feat:, fix:, ref:, meta:)
• For external contributors: CONTRIBUTING.md, Sentry SDK development docs, Discord community

[github-actions]

Codecov Results 📊

✅ 55903 passed | ⏭️ 2727 skipped | Total: 58630 | Pass Rate: 95.35% | Execution Time: 153m 28s

📊 Comparison with Base Branch

Metric	Change
Total Tests	📉 -81755
Passed Tests	📉 -77259
Failed Tests	📉 -1
Skipped Tests	📉 -4495

➖ Removed Tests (1)

View removed tests

• test_cache_spans_decorator[True]
  • File: tests.integrations.django.test_cache_module

All tests are passing successfully.

✅ Patch coverage is 83.95%. Project has 2083 uncovered lines.
❌ Project coverage is 89.96%. Comparing base (a3135ed) to head (ef36b98).

Files with missing lines (5)

File	Patch %	Lines
sentry_sdk/integrations/cohere.py	60.00%	⚠️ 6 Missing and 4 partials
sentry_sdk/integrations/huggingface_hub.py	76.19%	⚠️ 5 Missing and 5 partials
sentry_sdk/integrations/litellm.py	90.91%	⚠️ 1 Missing and 4 partials
sentry_sdk/integrations/openai.py	95.83%	⚠️ 1 Missing and 3 partials
sentry_sdk/integrations/anthropic.py	100.00%	⚠️ 3 partials

Coverage diff

@@            Coverage Diff             @@
##        master       #PR       +/-##
==========================================
- Coverage    90.37%    89.96%    -0.41%
==========================================
  Files          202       184       -18
  Lines        26552     20752     -5800
  Branches      9858      7194     -2664
==========================================
+ Hits         23997     18669     -5328
- Misses        2555      2083      -472
- Partials      1487      1231      -256

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[alexander-alderman-webb]

I'll inline on master instead so we can deprecate.