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Favored Foe damage die progression formula?

I have the following Normal 0 false false false EN-US X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Table Normal"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0in 5.4pt 0in 5.4pt; mso-para-margin:0in; mso-para-margin-bottom:.0001pt; mso-pagination:widow-orphan; font-size:10.0pt; font-family:"Times New Roman","serif";} The number of dice formula for cantrip progression is [[round((@{level} + 1) / 6 + 0.5)]] The Bardic Inspiration die formula is 1d[[{(round(@{base_level}/5+0.5)*2)+4,12}kl1]] where base_level is the # of levels in the bard class. The Monk Martial Arts die roll formula is 1d[[2*(round((@{base_level} +1)/6 + 0.5)) + 2]] where base_level is the # of levels in the monk class. So what is the formula for the Favored Foe damage die. Tasha's indicates it is a d4 for levels 1-5, a d6 for levels 6-13, and a d8 for levels 14+ The charactermancer doesn't automatically add it to the Global Damage, it just adds the description in the features (5E OGL Sheet). Any help would be appreciated.
This will give you the progression you're after. Starting at 4 and increasing by 2 at each milestone. 1d[[{6,14}<@{base_level}*2+4]]
Works great. If I read it correctly, the {6,14}<@{base_level} part is comparing each number with the base_level and returning the number of successes. Once you hit level 6, you get one success and at 14 you get two.
Precisely and those successes get multiplied by two for the step up