No, the built-in email account does not count towards the email account limit of your plan. You can still connect the full number of incoming and outgoing email accounts allowed by your plan in addition to the built-in one.
Email account limits by plan
| Plan | Incoming email accounts | Outgoing email accounts |
|---|---|---|
| Starter | 3 | 3 |
| Team | 10 | 10 |
| Business | 150 | 150 |
| Enterprise | Unlimited | Unlimited |
| Small (legacy plan) | 3 | 3 |
| Medium (legacy plan) | 10 | 10 |
| Large (legacy plan) | 150 | 150 |
| Legacy Enterprise | 500 | 500 |