Formula for every 3 letter combination (with exceptions)

[onurb]

So this goes a bit over my head so I am coming here in hopes for help and a solution.

I need a formula similiar to the one posted here:

Every Three Letter Combination

Hi, Could anyone help me with a macro or formula that could list every three letter combination from AAA to ZZZ in column A of a workbook? Just the logic would be fine as I'm starting to think that the way I've thought of doing it is over complicating it. Thank you.

www.mrexcel.com

However, I have some exceptions...
I do not want any duplicate letters in the combination (ex. Abc is ok, Aab is not)
The combination must contain a vowel (a,e,i,o,u,y)

Is this possible?

 

[onurb]

=ArrayFormula(QUERY(FLATTEN(FLATTEN(CHAR(64+SEQUENCE(26))&IF(CHAR(64+SEQUENCE(26))=TRANSPOSE(CHAR(64+SEQUENCE(26))),"~",TRANSPOSE(CHAR(64+SEQUENCE(26)))))&IF(REGEXMATCH(FLATTEN(CHAR(64+SEQUENCE(26))&IF(CHAR(64+SEQUENCE(26))=TRANSPOSE(CHAR(64+SEQUENCE(26))),"~",TRANSPOSE(CHAR(64+SEQUENCE(26))))),TRANSPOSE(CHAR(64+SEQUENCE(26)))),"~",TRANSPOSE(CHAR(64+SEQUENCE(26))))),"WHERE NOT Col1 CONTAINS '~' AND (Col1 CONTAINS 'A' OR Col1 CONTAINS 'E' OR Col1 CONTAINS 'I' OR Col1 CONTAINS 'O' OR Col1 CONTAINS 'U' OR Col1 CONTAINS 'Y')"))

the folks over at stackexchange helped me, they were really nice people

 

[Fluff]

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Cross posted at: Google Sheets: Need formula for every 3 letter combination
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