You would have to use a child theme.
First, upload the animate.css file to your child theme, or add the CSS from the file into your existing custom CSS.
Then you’ll need to remove your logo in “Customize > Site Identity” and add it using HTML into the “Before Header Content” hook in GP Hooks like this:
<img src="URL TO YOUR LOGO" alt="YOUR SITE TITLE" class="animated bounceOutLeft" />
You can adjust the classes as you need 🙂