Connect the dumb charger to your 12.3 volt AGM
Set the charger on HIGH
Let the charger raise battery voltage to 14.4 volts
How many amps are flowing at this point?
I am ASSSUMING your battery is a UlLR or L around 20 amp hours. Since BATTERIES PLUS website seems to have a problem. This battery a healthy person can grab with one hand and run with it. They have "L" shaped bolt to terminals.
That being the case, at 14.4 volts the flowing current MUST decline down to a quarter ampere or less. One fourth of one amp. Use your digital multimeter and 10 amp setting and put it inline with the positive battery charger line.
If it takes an hour to do this, it takes an hour. If voltage wants to exceed 14.4 volts, click the setting back to "medium" or "low". It takes as long s it takes and this is going to save the battery from an early death.
Check the charging battery and if it seems to have heated up to 110F back off the charge, or shut off the charger, let it cool, then resume.
Once this "Restoration" malarkey is finished, go ahead and use and maintain charge the battery as is normally done.