SLA for AP Liability Account

Hello,

Is it possible to modify the cost center value for the AP Liability account at the time of payment.  See example below with COA = Company.Cost Center.Account:

Recording of Invoice:

10.101.6432 - Expense

10.101.2100 - AP Liability

Time of Payment:

10.000.2100 - AP Liability

10.000.1011 - Cash

As you can see at the time invoice is created we want the AP liability account to use a CC value, but at the time of payment we want to relieve the AP Liability with a zero cost center.

Is this possible using SLA rules, if so how can I achieve it as the Journal Line Type of the Liability account does not allow to be updated.