I am bit confused about precedence of A and B in below sentence patterns

> AついでにB

> AがてらB

> AかたがたB

> Aを兼ねてB

In structure「Aを兼ねてB」, B is a main goal and A is a subsidiary goal according to
[this page](https://nihongokyoshi-net.com/2020/02/11/jlptn1-grammar-
wokanete/).

Based on my knowledge, in「A (ついでに / がてら / かたがた) B」structure, A is a main goal
and B is a subsidiary goal. However when I look up がてら from the [same grammar
website](https://nihongokyoshi-net.com/2019/02/19/jlptn1-grammar-gateara/), it
said that がてら is synonymous to both を兼ねて and ついでに which is contradictory to
me. Does it imply that B is a main goal while A is a subsidiary goal in
both「AがてらB」and「AついでにB」?

What is true precedence of A and B in「A (ついでに / がてら / かたがた / を兼ねて) B」sentence
structure?
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2022-03-01T03:58:20.950
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question
grammar
Precedence of A and B in「A (ついでに / がてら / かたがた / を兼ねて) B」