how to get white mage barding for my chocobo?

[Niwashi]

... but on the other hand you won't be able to get the other ones unless you take your chocobo past rank 10.

Do you just need to break the rank 10 barrier, or do you need to get to 20 to get a second barding? And can you get all three by changing around points after getting past rank 10?

[Estellios]

Do you just need to break the rank 10 barrier, or do you need to get to 20 to get a second barding? And can you get all three by changing around points after getting past rank 10?

I'm not sure how many points you get per rank past 10 (My chocobo is 75% of the way to rank 11) but SE confirmed themselves that you need to break the chocobo level cap to get multiple bardings. You can't get multiple by changing around points, I'm assuming the game keeps track of how many points your chocobo has and won't unlock a 2nd or 3rd barding set until you have X amount.