This is what worked for us.
We put this text in a file named "web.config" in our main web directory along with the apple-app-site-association file.
<?xml version="1.0" encoding="UTF-8"?>
<configuration>
<system.webServer>
<staticContent>
<remove fileExtension=".xml"/>
<remove fileExtension=".svg" />
<remove fileExtension=".ttf" />
<remove fileExtension=".eot" />
<remove fileExtension=".woff" />
<remove fileExtension=".json" />
<remove fileExtension=".otf" />
<remove fileExtension=".mp4" />
<remove fileExtension=".zip"/>
<remove fileExtension=".eps"/>
<remove fileExtension=".pdf"/>
<mimeMap fileExtension=".pdf" mimeType="application/pdf" />
<mimeMap fileExtension=".zip" mimeType="application/zip"/>
<mimeMap fileExtension=".eps" mimeType="application/octet-stream"/>
<mimeMap fileExtension=".json" mimeType="application/json" />
<mimeMap fileExtension=".otf" mimeType="application/octet-stream" />
<mimeMap fileExtension=".mp4" mimeType="video/mp4" />
<mimeMap fileExtension=".eot" mimeType="application/vnd.ms-fontobject" />
<mimeMap fileExtension=".woff" mimeType="application/font-woff" />
<mimeMap fileExtension=".ttf" mimeType="application/octet-stream" />
<mimeMap fileExtension=".svg" mimeType="image/svg+xml" />
<mimeMap fileExtension=".xml" mimeType="text/xml" />
<mimeMap fileExtension="." mimeType="application/pkcs7-mime"/>
</staticContent>
</system.webServer>
</configuration>
Of note, that properly serves the file without an extension - BUT - as we understand it - Apple still requires two other steps. (1) Your server must get an SSL certificate so it can serve that file by HTTPS (that is a ~$60/year purchase on GoDaddy); (2) Your server must also code-sign the apple-app-site-association file (that is a ~$150/year on GoDaddy for a downloadable certificate which can code sign files.)