Other Pets component

### Dependency
- Awaiting updated design

### Overview
Implement the "Pets" component for the Intake profile.

You'll have to work off the `feat/generated-profile` branch so make sure to check it out and pull in the most up-to-date changes.

### Action Items

- [x] Add a "pets" type to the FieldTypes type definition.
- [x] Add a case to the switch statement that renders fields
- [x] Add the field to the `/src/utils/test/db/profile.ts` in the "Other Guests/Pets section"
- [x] Build the pets field component:
- [x] Create a component that renders a field for a user to type in a pet
- [x] The field has a button that allows the user to add another pet
- [x] Add a button to delete pets
- [x] Add custom validation if necessary

### Resources/Instructions
The `AdditionalGuestsField` could be a good reference to how to approach building this, but you will have to make some tweaks. You may have to define the data as an array of object so [here](https://formik.org/docs/guides/arrays) is some info from Formik on how to handle that.