ref(flask): Remove transaction_style parameter

[alexander-alderman-webb]

Description

Inline the branches that set the route template as the segment name (i.e., transaction_style="url").

Issues

Closes #7811

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 📊

✅ 58604 passed | ⏭️ 2727 skipped | Total: 61331 | Pass Rate: 95.55% | Execution Time: 164m 19s

📊 Comparison with Base Branch

Metric	Change
Total Tests	📉 -78747
Passed Tests	📉 -74254
Failed Tests	—
Skipped Tests	📉 -4493

All tests are passing successfully.

❌ Patch coverage is 60.00%. Project has 2055 uncovered lines.
❌ Project coverage is 90.21%. Comparing base (3edb74f) to head (6f58107).

Files with missing lines (1)

File	Patch %	Lines
sentry_sdk/integrations/flask.py	60.00%	⚠️ 2 Missing

Coverage diff

@@            Coverage Diff             @@
##        master       #PR       +/-##
==========================================
- Coverage    90.37%    90.21%    -0.16%
==========================================
  Files          199       183       -16
  Lines        26526     20982     -5544
  Branches      9866      7346     -2520
==========================================
+ Hits         23971     18927     -5044
- Misses        2555      2055      -500
- Partials      1495      1217      -278

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