"already designed" is correct and can be used in written English.
You could use it in a sentence such as "The website was already designed when I took over the project".
Someone already designed death.
"The machine was already designed every component was already designed.
"The machine was already designed — every component was already designed.
His cover is already designed.
We had already designed these mugs, probably 10 years ago.
Avtovaz has already designed the vehicle, a new version of the Niva.
John Giannotti, above, a sculptor and professor emeritus at Rutgers University, had already designed the memorial.
Bush hired the architect Harvey Wiley Corbett, who had already designed several Brooklyn factory buildings.
A Rochester engineering firm, McGhie & Betts, had already designed a development.
He had already designed elevators for the Eiffel Tower and would later design those in the Woolworth Building.
The Ministry of Justice believes that tribunals and similar bodies are "already designed for people who don't have lawyers".
