TasThiluna

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Solution

The solutions to the clues, when written in sequence, contain the name of a KTANE module with the word “Cube” missing; except the last one, which hints directly at the name of another module. The quoted phrases then hint at something from that module or its manual.
AnswersModulePhraseSolution
MURPHY+PERSONThe Hypercube“What I have 5 of.”ROTATIONS
SPOONFUL+TRANSGENDERThe Ultracube“From where my simpler counterpart was recovered.”
(AN) ALIEN SPACECRAFT
(flavour text)
THEThe Cube“The one who reworded me.”PETER RED
SHALOM+BAXENDENLombax Cubes“What I don't think will fix me.”
WRENCH
(flavour text)
TORI+ENT+AT+IONIZATIONOrientation Cube“Simple. The first word in my name.”ORIENTATION
EXPAT+TERNARYPattern Cube“The color of what is labeled ‘1’.”RED
CHERUB+IKSANRubik’s Cube“The 2nd column.”L
RUBIK’S + somethingRubik’s Clock“The first one where the number of [indicators] matters.”DEF

The solution can be seen by looking at the first letter of each answer.

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