If I remember correctly, Laravel automatically removes the trailing slash from URLs unless it's a folder. Here's what's in the .htaccess file in the /public/ folder:
# Redirect Trailing Slashes If Not A Folder...
RewriteCond %{REQUEST_FILENAME} !-d
RewriteRule ^(.*)/$ /$1 [L,R=301]
Try replacing it with something like this:
RewriteCond %{REQUEST_FILENAME} !-f
RewriteRule ^(.*)([^/])$ /$1$2/ [L,R=301]
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