This one is the short version of Corrector Yui's song "Requiem" from ending 2, since the short version is the one they use in TV.
The instruments are made with Cubase, and the Drum set with Fl studio.
The singer is ShiAurean, she has lots of anime covers, so if you wanna check out her Youtube channel:
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Please contact me if you would like to use this in a project. We can discuss the details.