Send Emails with Lovable

Integrate Brew automation API for triggering email sequences.

API Details:
- Base URL: https://brew.new/api
- Auth: Bearer token using the BREW_API_KEY secret
- Endpoint: POST /v1/automation/runs
- Content-Type: application/json
- Optional header: Idempotency-Key (recommended — same key returns the original automationRunIds[] on retries)

Request body format (fire branch):
{
  "triggerEventId": "tri_user_signup",
  "payload": {
    "email": "user@example.com",
    "firstName": "Jane",
    "plan": "premium"
  }
}

Response format (HTTP 202):
{
  "success": true,
  "status": "triggered",
  "triggerEventId": "tri_user_signup",
  "receivedAt": "2026-04-08T12:34:56.789Z",
  "details": {
    "triggerInstanceId": "tin_01HZ",
    "automationRunIds": ["run_abc"],
    "publishedAutomations": [
      { "automationId": "auto_welcome", "title": "Welcome flow" }
    ],
    "counts": { "automations": 1, "transactionalEmails": 0 }
  }
}

Create a Supabase Edge Function called "trigger-automation" that:
1. Reads BREW_API_KEY from environment secrets
2. Accepts triggerEventId and payload in the request body
3. Calls POST https://brew.new/api/v1/automation/runs with:
     - Authorization: Bearer <BREW_API_KEY>
     - Idempotency-Key: <a stable per-event hash, e.g. `signup-${userId}-${eventTimestamp}`>
4. Returns response.details.automationRunIds[] (and any warnings) to the client

The "email" field is always required in the payload. triggerEventId is the
stable id returned by POST /v1/triggers (or surfaced in GET /v1/triggers
for integration-provisioned triggers).

Docs: https://docs.brew.new/create-emails/automations
SDK: https://docs.brew.new/sdks/typescript/agentic-cookbook (use brew.automationRuns.fire())

Integrate Brew Public API v1 for generating and sending emails.

API Details:
- Base URL: https://brew.new/api
- Auth: Bearer token using the BREW_API_KEY secret
- Use GET /v1/domains to fetch a verified domainId
- Use POST /v1/emails to create a saved email
- Use POST /v1/sends to start the send
- Content-Type: application/json

Email generation request body:
{
  "prompt": "Create a password reset email with a reset link"
}

Send request body:
{
  "emailId": "YOUR_EMAIL_ID",
  "domainId": "YOUR_DOMAIN_ID",
  "subject": "Reset your password",
  "emails": ["recipient@example.com"]
}

Create a Supabase Edge Function called "send-email" that:
1. Reads BREW_API_KEY from environment secrets
2. Accepts prompt, recipient email, and subject in the request body
3. Calls Brew domains, then Brew email generation, then Brew send
4. Returns the send status and runId to the client

Use the current Public API v1 routes and response shapes from the Brew docs.

Docs: https://docs.brew.new/create-emails/automations