I wouldn’t. I have had several different jobs (including where I am now) that requires I sign off on paperwork many times a day, using all three of my initials. Teasing potential!
I think it’s fine if you have the C name as the second middle as then the whole problem is essentially eliminated, but otherwise I wouldn’t do it. Personally I like writing my middle name on things, and what peoples initials are/what their middle name is comes up a lot more than you would expect, especially when people are young. I knew somebody who’s initials were SLT and it kind of became an unfortunate nickname.
Bad. Bad.