Will the sitemaps update after new static pages added without using server-sitemap.xml?

[arashi-dev]

I still don't understand the concept of server-sitemap.xml

Imagine I have a page route like this: /products/[page].tsx and at build time I generate 3 pages but during runtime, I build 3 more, so it becomes 6 pages.

|-------------- during build time ----------| |-------------- during runtime ------------|
/products/1, /products/2, /products/3, /products/4, /products/5, /products/6

will this library automatically add those 4, 5, and 6 pages to the sitemap? or I should add them using server-sitemap.xml?

Update:
As I understood, next-sitemap does not handle the runtime-added pages automatically and I must use the server-sitemap.xml approach beside the static-build-time approach.
I wish this library would do that automatically (by just doing the same thing that it does by next-sitemap CLI but automatically during runtime)