Rewrite, saving part of the URL to a variable that is visible in SSI. How to do it in Apache?

Question

Apache HTTP Server

I know how easy it is to do everything on Nginx, but the patient is Apache. In general, everything is different. Please help.
It is necessary that requests of the form:

http://site.com/path/name00
http://site.com/path/name01
..
http://site.com/path/name98
http://site.com/path/name99

"redirected" (not "redirected", that is, without three hundredth codes, imperceptibly for the user) into something like:
site.com/path/names.shtml
In other words, into the same shtml template. Inside which I would like to have SSI and a variable with the value name ** (or at least with the entire address line before the "rewrite" in order to parse the value from there).
Or, speaking the language of nginx, you want:

location ~ /path/name(\d\d) {
    set $nameNum $1;
    rewrite * /path/names.shtml;
}
location /path/names.shtml {
    ssi on;
}

So that inside names.shtml you can do:
<!--#echo var="nameNum" -->and get the number.
.htaccess available. Help, friends. Writing an article.