sharepoint online – Team Site Permission Not Showing New Group

I have a Modern Team Site and have default permission groups (Owner, Member, Visitor). For the new requirement I have created a new group with new permission level (New Group Test).

New Permission Group

But when I add users from home page this new group is not showing. There’s only Owner and Member.

Not Showing the new group

I need to assign some users to this new group.

I know I can directly add the users in the group in the first screenshot.

But is it possible to make that group available in the home page as in the second screenshot?

Or by default it only shows Member and Owner option?