Checking 12v voltages, Under hood ?

I assume the car was IG-OFF when you measured 12.44V. This means that your battery is around 50% charged.

A new AGM battery, fully charged, should measure ~12.9V. 12.1V is discharged.

 

Your numbers seem a bit high. Does an AGM battery read differently (higher?) than a flooded lead acid battery? I found lower numbers for state of charge for flooded cells here:
Charging the lead-acid battery

 

Yes, an AGM battery should produce a slightly higher voltage for a given charge state:

"The sealed AGM and Gel-Cell battery voltage (full charged) will be slightly higher in the 12.8 to 12.9 ranges."
Battery Basics: A Layman's Guide to How Batteries Work | BatteryStuff.com

I recently bought a replacement Toyota 12V battery (same as original equipment) for my 2004, and it measured 12.9V out of the box.

 

Another interesting link which contains a state of charge voltage table for different types of lead acid batteries, can be found here:

Battery voltage and state of charge - Energy Matters

 

The big Gel-Cell battery on my boat reads just over 13 volts after being fully charged. With any use it quickly settles to 12.9. The charging is being done by a $2,000 computer controlled charger/inverter programmed for the battery type. The battery has been in use for a decade and is still going strong.

Tom