I would like to use the ALTER TABLE command to ADD CONSTRAINT . I do this often with no issues but in this case I need to add it as an INDEX as well.

From the Microsoft website it shows the following...

-- ALTER TABLE options

< table_constraint > ::=
 [ CONSTRAINT constraint_name ]
{
   {PRIMARY KEY | UNIQUE }
     {
       NONCLUSTERED (column [ ASC | DESC ] [ ,... n ])
       | NONCLUSTERED HASH (column [ ,... n ] ) WITH ( BUCKET_COUNT = bucket_count )
     }
    | FOREIGN KEY
        ( column [ ,...n ] )
        REFERENCES referenced_table_name [ ( ref_column [ ,...n ] ) ]
    | CHECK ( logical_expression )
}

<column_index> ::=
  INDEX index_name
{ [ NONCLUSTERED ] | [ NONCLUSTERED ] HASH WITH (BUCKET_COUNT = bucket_count)}

<table_index> ::=
  INDEX index_name
{[ NONCLUSTERED ] HASH (column [ ,... n ] ) WITH (BUCKET_COUNT = bucket_count)
  | [ NONCLUSTERED ] (column [ ASC | DESC ] [ ,... n ] )
      [ ON filegroup_name | default ]
  | CLUSTERED COLUMNSTORE [WITH ( COMPRESSION_DELAY = {0 | delay [Minutes]})]
      [ ON filegroup_name | default ]
}

I usually do something like the following for adding a primary key and it works great (EX#1):

ALTER TABLE [table_one]
ADD CONSTRAINT [PK_7_table_one] 
PRIMARY KEY CLUSTERED ([id] ASC) 
WITH(
    PAD_INDEX = OFF,
    STATISTICS_NORECOMPUTE = OFF,
    IGNORE_DUP_KEY = OFF,
    ALLOW_ROW_LOCKS = ON,
    ALLOW_PAGE_LOCKS = ON
) 
ON[PRIMARY];

The SQL Server Management Studio scripts the table using the following (EX#2):

CREATE UNIQUE NONCLUSTERED INDEX [IX_table_one]
ON [dbo].[table_one] ( [guid] ASC )
WITH (
    PAD_INDEX = OFF
    STATISTICS_NORECOMPUTE = OFF
    SORT_IN_TEMPDB = OFF
    IGNORE_DUP_KEY = OFF
    DROP_EXISTING = OFF
    ONLINE = OFF
    ALLOW_ROW_LOCKS = ON
    ALLOW_PAGE_LOCKS = ON
    OPTIMIZE_FOR_SEQUENTIAL_KEY = OFF
) ON [PRIMARY]

So at the moment I'm doing the following (EX#3):

ALTER TABLE [table_one]
ADD CONSTRAINT [IX_7_table_one_guid] 
UNIQUE NONCLUSTERED ([id] ASC) 
WITH(
    PAD_INDEX = OFF,
    STATISTICS_NORECOMPUTE = OFF,
    IGNORE_DUP_KEY = OFF,
    ALLOW_ROW_LOCKS = ON,
    ALLOW_PAGE_LOCKS = ON
) 
ON[PRIMARY];

However, I feel like I'm missing something. Like I need to have UNIQUE NONCLUSTERED INDEX ([id] ASC) (which I know will not work). How do I make it show "Index" like this?

The issue being, when I create my new constraint using the above method (EX#3) the results of the Type on the constraint is a Unique Key rather than an Index like the previous image.

In the end, my goal is to use something like EX#3 to create the constraint using ALTER TABLE while ending up with a Type of Index instead of Unique Key .