This is Wrong: "since your entries for Company A referred only to two Asset accounts,"
I am showing a Credit Card Charge, which Increases the debt on your AMEX credit card (a type of liability) running debt balance, is offset to an Other Asset, because it isn't Your Expense and it is not any sort of Liability.
Let me break this down for you, by the Behind-the-scenes debit and credit:
Create Credit Card Charge with Other Asset on the Expenses tab = Debit Other asset and Credit AMEX
Their AMEX account is paid by an OUTSIDE entity = the people that really should have bought that thing for themselves. That entry for Company A:
Enter Credit Card Charge and change the radio button to a Credit; list the Other Asset account here, to show your AMEX account has gone down by a payment made directly by the person that really owed You. Since they didn't pay you, you won't have a deposit. Since they Did pay your AMEX, your AMEX balance goes down. So, you enter this Credit Card Credit and on the Expenses tab you list the Other asset = you got Repaid, albeit indirectly. Behind The Scenes:
Debits the AMEX account and Credits the Other Asset. Credit Other Asset = the balance Owed to you has Gone down. Debits the CC account = the balance you Owe has gone down.
