[上「あ」]げる => Just finished/completed A N3
Time, Situation
げ => Looks A N2
Adjectival, Descriptions
の[上「うえ」]では => As… N4
Situations and Experiences
てあげる => Help, do for N4
Give and take advice
[上「うえ」]で => A done then B N2
Information, Report
てさしあげる => Do for N4
Give and take advice
[上「うえ」]に => Not only A, but B as well N2
(Not)only, (Not) even
その[上「うえ」] => Not only A, but B (as well) N3
Not only, Not even
おかげで => Because of A, B; Thanks to A, B N3
Reason, Result, Response
たあげく => After A, B was the final/end result N2
Reason, Result, Response
[上「うえ」]は => Because of A, B can't be helped/is expected N2
Reason, Result, Response
あげる => Give B to A (A is a third party, not yourself) N4
Give and take advice