I would use a simple Python script within the field calculator tool.
Add this in the Codeblock box:
def my_concatenation(address_nr, my_street_name, my_street_ty):
my_address_nr = str(address_nr) # converts the address number into strings so that it can concatenated with the rest.
my_result_string = "Address: {0} {1} {2}".format(my_address_nr,my_street_name,my_street_ty) # adds "Address:", concatenates all the strings with space in between.
return my_result_string
Then in your expression field (below codeblock), you would type:
my_concatenation(!Address_No!, !StreetName!, !Street_Ty!)
I am assuming he attribute field names you use in your question are the actual names of the fields. If not replace those names between the "!" in your expression. Make sure to check the Python parser radio button in your calculate field window.