I can't apply two rules at the same time in htaccess

Question

and thanks to read me. My goal is to have the same htaccess code in local and production. First, I need to rewrite example.com/index.php?action=somepage to example.com/somepage. Second, I must rewrite http://example.com to https://example.com, but only in production, not on localhost. So far this is my code:

RewriteEngine on
RewriteBase /
# For Ionos
RewriteRule ^([0-9a-zA-Z/\ -]+)(?:&([0-9a-zA-Z&=_\ -]+))?$ index.php?action=$1&$2
# $1 : route name and framework parameters
# $2 : classic $_GET parameters (&param=value)
RewriteCond %{HTTP_HOST} ^(www\.)?example\.com$ [NC]
RewriteCond %{HTTPS} !=on
RewriteRule ^ https://%{HTTP_HOST}%{REQUEST_URI} [L,NE,R=301]

When I use https:// to connect, no problem, the first rule concerning index and action apply. When I use http://, the adress become https://, BUT the index/action rule doesn't apply.

Thanks a lot!

Edit : this works :

RewriteEngine on
RewriteBase /
RewriteCond %{HTTP_HOST} ^(www\.)?example\.com$ [NC]
RewriteCond %{HTTPS} !=on
RewriteRule ^ https://%{HTTP_HOST}%{REQUEST_URI} [NE,R=301]
# For Ionos, http => https
RewriteRule ^([0-9a-zA-Z/\ -]+)(?:&([0-9a-zA-Z&=_\ -]+))?$ index.php?action=$1&$2
# $1 : route name and framework parameters
# $2 : classic $_GET parameters (&param=value)

But I have a last problem. My folder in like this:

[] example
...[]public
......htaccess
...htaccess

The code shown above is the htaccess of public directory. The htaccess of example directory redirect to public:

RewriteEngine on
RewriteBase /
# for Ionos
RewriteCond %{REQUEST_URI} !^public
RewriteRule ^(.*)$ public/$1 [L]

The problem is while http://example.com redirect to https://example.com, http://example.com/somepage redirect to https://example.com/public/somepage and I can't remove the "public" part.

Thanks!