Update documentation and remove hack fixed by upstream cookie library

docs/user-guide/nginx-configuration/annotations.md

@@ -171,7 +171,7 @@ If you use the ``cookie`` affinity type you can also specify the name of the coo
 
 The NGINX annotation `nginx.ingress.kubernetes.io/session-cookie-path` defines the path that will be set on the cookie. This is optional unless the annotation `nginx.ingress.kubernetes.io/use-regex` is set to true; Session cookie paths do not support regex.
 
-Use `nginx.ingress.kubernetes.io/session-cookie-samesite` to apply a `SameSite` attribute to the sticky cookie. Browser accepted values are `None`, `Lax`, and `Strict`. Some older browsers reject cookies with the more-recently-defined `SameSite=None`. To omit `SameSite=None` from these older browsers, add the annotation `nginx.ingress.kubernetes.io/session-cookie-conditional-samesite-none: "true"`.
+Use `nginx.ingress.kubernetes.io/session-cookie-samesite` to apply a `SameSite` attribute to the sticky cookie. Browser accepted values are `None`, `Lax`, and `Strict`. Some browsers reject cookies with `SameSite=None`, including those created before the `SameSite=None` specification (e.g. Chrome 5X). Other browsers mistakenly treat `SameSite=None` cookies as `SameSite=Strict` (e.g. Safari running on OSX 14). To omit `SameSite=None` from browsers with these incompatibilities, add the annotation `nginx.ingress.kubernetes.io/session-cookie-conditional-samesite-none: "true"`.
 
 ### Authentication
 

rootfs/etc/nginx/lua/balancer/sticky.lua

@@ -54,15 +54,12 @@ function _M.set_cookie(self, value)
     end
   end
 
-  if cookie_samesite then
-    cookie_path = cookie_path .. "; SameSite=" .. cookie_samesite
-  end
-
   local cookie_data = {
     key = self:cookie_name(),
     value = value,
     path = cookie_path,
     httponly = true,
+    samesite = cookie_samesite,
     secure = ngx.var.https == "on",
   }