Set Up PostHog Funnels and Events

I need to set up PostHog analytics for my SaaS app with custom events, funnels, and user identification so I can understand how people move through my product.

Product details:
- App name: [your app name]
- Framework: [e.g. Next.js, React SPA, Vue]
- Key user actions to track: [e.g. sign up, create project, invite team member, upgrade plan]
- Authentication system: [e.g. Clerk, NextAuth, Supabase Auth, custom]
- PostHog plan: [Free tier or paid]

Set up the following:

1. PostHog installation:
   - Install the posthog-js package
   - Initialize PostHog in my app with the correct API key and host
   - Show me the provider/wrapper pattern for [framework] so it loads on every page
   - Enable autocapture for clicks and pageviews as a baseline

2. User identification:
   - After login, call posthog.identify() with the user's ID and these properties:
     - email: [user email]
     - name: [user name]
     - plan: [free/pro/enterprise]
     - signed_up_at: [signup date]
   - Show me exactly where to place this call in my auth flow
   - Call posthog.reset() on logout

3. Custom event tracking — set up these events:
   - "signed_up" with properties: method [google/email], referral_source
   - "project_created" with properties: template_used, project_type
   - "team_member_invited" with properties: role [admin/member]
   - "plan_upgraded" with properties: from_plan, to_plan, monthly_revenue
   - "feature_used" with properties: feature_name, usage_count
   Give me the exact posthog.capture() call for each.

4. Funnel creation:
   Build these funnels in the PostHog dashboard:
   - Activation funnel: signed_up -> project_created -> feature_used (within 7 days)
   - Upgrade funnel: pricing_page_viewed -> checkout_started -> plan_upgraded
   - Invite funnel: project_created -> team_member_invited
   Walk me through creating each funnel step-by-step in the PostHog UI.

5. Key dashboards to create:
   - Daily active users (DAU) and weekly retention
   - Signup-to-activation conversion rate
   - Feature adoption breakdown (which features get used most)
   - Revenue events timeline (upgrades, downgrades, churn)
   Tell me which PostHog insight type to use for each (trends, funnels, retention, paths).

6. Session recordings (optional):
   - Enable session replay for users who hit an error or drop off during onboarding
   - Set up a recording filter so I only capture sessions on key flows, not everything
   - Explain the privacy/performance implications

Output all code as copy-paste snippets with comments. For dashboard setup, give me click-by-click instructions.