All three involve acquisition in a broad sense, but each answers a different question.
FunctionTextbook exampleDiagnostic focus
AdoptionاِجْتَنَبَWhat position was taken?
ExertionاِكْتَسَبَWhat effort was made?
Personal selectionاِكْتَالَ الشَّعِيرَWhat was measured for oneself?
Do not collapse these three source categories merely because their Urdu or English glosses sometimes overlap.