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Verso - Korpeso is level 33; endurance, agility, and strength are 99.
Lune - Lithelim is level 33 ; endurance, luck and strength at 99.
Pictos and lumens related to fire and damage are the same on both characters (300 lumens each). I tried it on two Noirs on Dark Shores (on NG+).
10 burns from Verso on the left target while holding rank C (this rank alone gives an increase in total damage by 25%) cause 169,861 damage units. If you subtract 25% of the rank, the number will be as follows: 127.396.
5 burns from Lune on the right target deal 63.698 damage, which is exactly 2 times less than the result of Verso minus 25% (that is, 127.396 damage).
The unnecessary sum of these damage units (without deducting 25% of the damage) gives a result of 233721 damage units.
With the next move, Verso applies 10 burns to the right target, which adds up to 15, and remains at rank C. During the enemy's turn, damage is dealt at 244530, which is only 5%, but still more than that unnecessary amount. From this we can conclude that the damage from burns depends on the number of these burns, and on the character (including pictos, lumines, and weapons) who inflicted these burns. Including burns from all characters. According to some tricky formula, it's all calculated there and the result is given. It doesn't matter in what order the burns were inflicted. Lunet - Verso or Verso - Lune.
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Answering your question, it's more likely to be in the direction of 25,000 damage units.
However, it may be in the direction of 30,000 damage units, and even more if you keep a higher Verso rank.