Very bad idea, don't install as an addon using the installer, it will screw up your TS12. As per the instructions given by N3V on release of TS12 on how to add 2010, Install separately and copy the 2010 ja files to the builtin folder in TS12 manually, add your 2010 serial number to TS12 in launcher options, start TS12 and it should go through it updating database thing.
You can only use the installer to add on to an older version, so you could update 2010 to TS12 not the other way round as some have found out to their cost.
Add the 2010 ja files after you have finished patching.