Well, if I DMed, at least for my usual group
I'd give 1 LA for free
providing it's of the usual 'quality' as most LAs.
...soo, Elder Things made a guardian statue in the honor of their favored pet. After guarding an adventure site for a couple of eons a mage used Incarnate Construct on the thing and turned it into a living creature, after which, in a stroke of irony, it got afflicted with werecat lycanthropy (common housecat).
Oh, afflicted locanthropy is +2 LA, so not sure where you get +1... Couldn't find the actual description of incarnate construct, except that it's a 9th spell, meaning it costs about 5000GP which is a tad outside 1st level character.
being AFB (or PDFs as i ma be) can be so inconvenient...