How can I redirect nested directories to a subdomain/path using mod_rewrite, provided that some directories have their own htaccess inside?

Question

Apache HTTP Server

There is a site domain.com
It has a /showroom directory
It is also a document root for the showroom.domain.com subdomain It is
necessary that if you go to the server as a folder, it would send a 302 redirect to the subdomain with an addition in the form of a path
That is, domain.com/showroom /something -> 302-> showroom.domain.com/something
This is what I did:
Allow from all
RewriteEngine on
Options +FollowSymLinks
RewriteCond %{HTTP_HOST} ^domain.com
RewriteRule ^(.*)$ showroom.domain.com/$1? [R=302,L]
And everything is fine, but there are also nested directories, for example showroom.domain.com/something/somewebsite
And they have their own .htaccess
Of course, I put
RewriteOptions inherit in it
However, domain.com/showroom/something/somewebsite redirects to showroom.domain.com
Completely ignoring the further path.
Where to dig?