Your explanations are slightly confusing…. removing = deleting?
My understanding is that you have a primary domain – respect-animal.ca
Your home folder is at: /home/respe273/
Your primary domains (respect-animal.ca) website is located within the /home/respe273/public_html folder – this is where this website loads from correct?
You have installed a 2nd version of your site at: /home/respe273/public_html/massacreanimal.org/dir/
You now have a 3rd install (or a copy of the 2nd) located at: /home/respe273/massacreanimal.org/dir3/
When a person visits the site (from original post, the wp-admin page)… it redirects. So when you visit https://www.massacreanimal.org/dir/wp-admin/ it will redirect to https://www.massacreanimal.org/fr/index.php with a 403 (Forbidden Error, which is restricted access).
There is either a redirect in your present .htaccess in the root, the 2nd install or within the cpanel redirects or on the domain that is preventing access.
Your NEW (3rd) install at /home/respe273/massacreanimal.org/dir3/ which I ASSUME has a browser URL of https://massacreanimal.org/dir3/ also redirects to that same page. Somewhere in your .htaccess or site/domain settings, you are redirecting that domain (possibly even a WP plugin you may be using?) that is causing you this headache. If you have done exactly what you were instructed, minus the .htaccess or redirect issues, then it should be working to access the wp-admin area at this link: https://massacreanimal.org/dir3/wp-admin
If you are willing to trust me to take a look at your current configuration, I am willing to look at this and see what I might be able to figure out. I see you are hosted with hostpapa.com.
You can email me directly at [Moderated].
Maybe I’ve given you enough information to troubleshoot this on your own.