sentry-docs feat: Update AI Code Review docs for GA (status checks, image, overall UX)

Add GitHub Permissions section explaining required permissions (Pull Requests, Checks, Commit Statuses)
Add comprehensive GitHub Status Checks section covering:
- Status check behavior (pass/neutral/fail states)
- Visibility information for repository users
- Instructions for integrating with branch protection rules
Add three new FAQ entries about status checks:
- Why status checks fail
- How to disable status checks
Update GitHub integration docs to reference AI Code Review in permissions table

Main preview: https://sentry-docs-git-fork-rohan-at-sentry-docs-ai-code-review-cc3117.sentry.dev/product/ai-in-sentry/ai-code-review/

Fixes: https://linear.app/getsentry/issue/CW-11

DESCRIBE YOUR PR

Tell us what you're changing and why. If your PR resolves an issue, please link it so it closes automatically.

IS YOUR CHANGE URGENT?

Help us prioritize incoming PRs by letting us know when the change needs to go live.

[ ] Urgent deadline (GA date, etc.):
[ ] Other deadline:
[X] None: Not urgent, can wait up to 1 week+

SLA

Teamwork makes the dream work, so please add a reviewer to your PRs.
Please give the docs team up to 1 week to review your PR unless you've added an urgent due date to it. Thanks in advance for your help!

PRE-MERGE CHECKLIST

Make sure you've checked the following before merging your changes:

[ ] Checked Vercel preview for correctness, including links
[ ] PR was reviewed and approved by any necessary SMEs (subject matter experts)
[ ] PR was reviewed and approved by a member of the Sentry docs team

LEGAL BOILERPLATE

Look, I get it. The entity doing business as "Sentry" was incorporated in the State of Delaware in 2015 as Functional Software, Inc. and is gonna need some rights from me in order to utilize my contributions in this here PR. So here's the deal: I retain all rights, title and interest in and to my contributions, and by keeping this boilerplate intact I confirm that Sentry can use, modify, copy, and redistribute my contributions, under Sentry's choice of terms.