https://www.flyertalk.com/forum/35053177-post666.html
You have the 4P version (with La Premiere (aka "P") in row 1). It has basically the same seats as the ones with doors, but no doors, less advanced electronics, and bulkhead seats which are just like any other.
The 777-300s that are currently scheduled for refurb with the new cabins are the ones with 2-3-2 angle flats.
Since the 4P 777-300s are the only planes with P in the fleet, it suggests that these will not get the J seats with doors until some P capacity is added (there are persistent rumors of a P cabin in future A350s, but nothing totally firm) and likewise suggests that chances are low for a flight scheduled to be operated by a 4P aircraft will be swapped for one with new seats.
For LAX, where a majority of AF flights have P, that suggests that chances are slim of getting the new seats anytime in the next 12 months (and probably slim in the next 18-24 months or even beyond).