[eas-cli] Add integrations:posthog:connect

[gwdp]

Why

Connect an Expo app to PostHog in one command. It provisions the PostHog project, asks which features you want, installs the SDK, and writes the env vars — so analytics / session replay / error tracking work after a build.

How

Fast-forward order — provision first, then ask what to wire up:

1. Provision — reuses your account's PostHog org + this app's project, or creates them. Only a brand-new connection asks a question: region (US / EU), which sets data residency and can't be changed later.
2. Pick features — a multiselect, all preselected: Analytics, Session replay, Error tracking (source maps, requires a personal API key).
3. Error tracking, if selected — prompts you to paste a PostHog personal API key (we can't mint it — you create it in PostHog and paste it in).

It then:

• Installs posthog-react-native (+ expo-file-system, expo-application, expo-device, expo-localization; plus posthog-react-native-session-replay when replay is on) via npx expo install
• Adds the posthog-react-native/expo config plugin (prints manual steps if your app config is dynamic)
• Writes env vars to .env.local (local dev) and EAS (Production / Preview / Development):
  • Analytics → EXPO_PUBLIC_POSTHOG_API_KEY, EXPO_PUBLIC_POSTHOG_HOST (public)
  • Error tracking → POSTHOG_CLI_API_KEY (sensitive), POSTHOG_CLI_PROJECT_ID, POSTHOG_CLI_HOST (public)
• Source-map uploads on builds are covered by our guide; the command just sets the POSTHOG_CLI_* vars.

Flags: --region, --session-replay / --no-session-replay, --error-tracking / --no-error-tracking, --posthog-cli-api-key, --overwrite, plus --json / --non-interactive. Agent-ready: error tracking auto-skips without a key (or pass --posthog-cli-api-key); --error-tracking without a key fails before provisioning; --region is required non-interactively.

Test Plan

• CI — 34 unit tests, full coverage of connect.ts
• Live run needs the universe PostHog backend deployed

[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 58.65%. Comparing base (70411c8) to head (553dccc).

Additional details and impacted files

@@                     Coverage Diff                      @@
##           gwdp/posthog-m3a-graphql    #3836      +/-   ##
============================================================
+ Coverage                     58.43%   58.65%   +0.23%     
============================================================
  Files                           917      922       +5     
  Lines                         39999    40255     +256     
  Branches                       8419     8470      +51     
============================================================
+ Hits                          23368    23607     +239     
- Misses                        16536    16553      +17     
  Partials                         95       95              

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[github-actions]

✅ Thank you for adding the changelog entry!