Keep the largest number round 2

[Googol]₁plex = {10,10¹⁰⁰,1}
[Googol]_nplex = {10,[Googol]_n-1,n}

I propose [Googol]₃plex = {10,{10,{10,100,1},2},3}

NOTE: should not be confused with googol-n-plex defined by googol-1-plex = 10¹⁰¹⁰⁰ and googol-n-plex = 10^{googol-(n-1)-plex}

G3 = {3,4,1,2}

I propose G4 = {3,5,1,2} ( ͡° ͜ʖ ͡°)

G63 < Graham's Number < G64 ( ͡° ͜ʖ ͡°)



EDIT: read the chat

{3,1000000,1,2} which is the Forcal

{3,1000000,1000000,2} is Terribocal ( ͡° ͜ʖ ͡°)

Tris-Terrible-Tetribocal is Forcal_1,4,2(1) ~= {1000000,1000001,999999,3,2}

10&10 = {10,10,10,10,10,10,10,10,10,10} ("Decadecatrix")

EDIT: it is about f_ω⁸+9(10) in the fast-growing hiearchy!