Using URL Rewrite on IIS for website with sub applications

Using URL Rewrite on IIS for website with sub applications

I'm trying to use Laravel to host an API. On my test server it work, I
have one website and the project sits directly under it. With this my URL
Rewrite is
<rule name="Laravel Rewrite" stopProcessing="true">
<match url="^" ignoreCase="false" />
<conditions logicalGrouping="MatchAll">
<add input="{REQUEST_FILENAME}"
matchType="IsDirectory" negate="true" />
<add input="{REQUEST_FILENAME}" matchType="IsFile"
negate="true" />
</conditions>
<action type="Rewrite" url="public/index.php" />
</rule>
This rule does not work on my production server because the website
hosting the API is also hosting two other websites. Let's say the
hierarchy is
/Website
-Web1
-Web2
-api
The goal here is to direct to Website.com/api/Login for example. But I am
not able to create a rule that will rewrite to /api/public/index.php. I
really want to kick the /public/ portion out of the URL.
How would I construct such a rule ?