You have L
flag missing in few rules. Type changing your code to this:
Options +FollowSymLinks -MultiViews
# Turn mod_rewrite on
RewriteEngine On
RewriteBase /
# Force HTTPS
RewriteCond %{HTTPS} !=on
RewriteCond %{ENV:BWC_ENV} ^prod$
RewriteRule ^ https://%{HTTP_HOST}%{REQUEST_URI} [L,R=301]
# Parse the subdomain as a variable we can access in our scripts
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{QUERY_STRING} !^$
RewriteCond %{HTTP_HOST} !^www
RewriteCond %{HTTP_HOST} ^([^.]+)\.[^.]+\.[^.]+$
RewriteRule ^(.*)$ /$1?subdomain=%1 [L,QSA]
# Ditto for the path; map all requests to /index.php
RewriteRule ^index\.php$ - [L]
RewriteCond %{REQUEST_FILENAME} !-f
RewriteCond %{REQUEST_FILENAME} !-d
RewriteCond %{REQUEST_FILENAME} !robots.txt
RewriteRule ^(.*)$ /index.php?path=$1 [L,QSA]
# robots.txt - supply the correct one for each environment
RewriteRule ^robots.txt$ /robots.prod.txt [L,NC]
RewriteCond %{ENV:BWC_ENV} !prod
RewriteRule ^robots.prod.txt$ /robots.stage.txt [NC,L]