How do I translate multiple Dynamic Filters into EPMAxisOverride formula?

I'm trying to replicate an entity selection I have made in the member selector screen with multiple filters into a EPMAxisOverride formula but I have not been successful. The output of the original selection (see attached file) maintains the hierarchy order while testing for each of the filters. When trying to recreate the EPM formula, the output is grouped by filters which is not the intended result. I'm pretty sure it's a matter of using the correct syntax in the EPMAxisOverride formula. Any help on this would be appreciated.
Thanks!
Daniel.-

Vadim,
I was trained on EPMAxisOverride formula. I'm not familiar with the EPMDimensionOverride? What's the difference and why would it work in one and not the other one formula?
Columns: Accounts
Rows: Entities
Users will select an Entity (most of the time a brand level) and then, the report pulls Product group, PCNONE, and Profit Center entities where PG and PCNONE are descendants of Profit Centers.
I need to maintain the same hierarchy structure as in the Entity dimension as shown below.
     PG123
     PG443
     PG4509
     PCNONE23
PC23 (Total)
     PG345
     PG325
     PG908
     PCNONE34
PC34 (Total)
I don't want to group the different entity types into big groups, as I stated above, they most maintain its hierarchy order.
Thank you!

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