Reducing 6 character string into 2 character string

--- So here's part 2 of my problem / This is the follow-up to my previous question ---
--- part 1 of this question is "merging characters into one cell, keeping the order" ---
How can I reduce a 6 character string into the right 2 character string ?
guidelines :
- the 6 character string is made up of up to 3 different characters, being A B C
- all 6 character strings list As first, Bs second and Cs third
- if the 6 character string contains 4 or more of the same characters, it should be reduced into a 2 character string of 2 times that same character
e.g. AAAABC --> AA
- if the 6 character string is AABBCC, then it should be reduced to the 'exception-string' NO
e.g. AABBCC --> NO
- if the 6 character string contains exactly 3 of the same characters, it should be reduced into a 2 character string of the 2 characters that occur most
e.g. ABBBCC --> BC
How do I fit this into just one formula ?
Thanks !

"I was actually thinking about something like :
if ?????? = AABBCC, then NO,
else : if ?????? contains A, B and C,..."
I thought about that awhile and investigated a few dead ends before thinking 'Wait a minute...there are only 28 possible 6 character strings.'
With that low number, the simplest solution is to list them in one column, list the two character result beside each one, then use that as a Lookup Table:
Same table as before.
Column L uses my version of Yvan's formula to produce the string from the entries in columns A,B and C
Column Q uses the string in L as the search key for VLOOKUP to find and return the two character string shown.
Q2: =VLOOKUP(L,Table 2 :: A:B,2,FALSE)
"FALSE" sets the formula to look for an exact-match. Probably unnecessary here, as all possible matches are in Table 2. Here is the top part of that table:
For convenience, here's the full data list for Table 2. Copy and Paste into a new table for your own use.
6 char
2 char
AAAAAA
AA
AAAAAB
AA
AAAAAC
AA
AAAABB
AA
AAAABC
AA
AAAACC
AA
AAABBB
AB
AAABBC
AB
AAABCC
AC
AAACCC
AC
AABBBB
BB
AABBBC
AB
AABBCC
NO
AABCCC
AC
AACCCC
CC
ABBBBB
BB
ABBBBC
BB
ABBBCC
BC
ABBCCC
BC
ABCCCC
CC
ACCCCC
CC
BBBBBB
BB
BBBBBC
BB
BBBBCC
BB
BBBCCC
BC
BBCCCC
CC
BCCCCC
CC
CCCCCC
CC
Regards,
Barry

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