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Your TPA is correct. Keep in mind that 25% of compensation limitation includes the match as well. This is not DYI exercise, the results are driven by demographics and thus will be unique to your company. The best outcome meeting your objective should be analyzed by your TPA and include at least a couple of alternatives. My recommendation would be to invest heavily into improving the communication process with your TPA or find another TPA which would make you feel comfortable.

See how friendly actuaries are. ☺️

It's not straightforward to convert from the table to a factor. You really have to use software to do it. I posted a spreadsheet here a couple of years ago that will calculate the factors for you, if you paste in the table and enter an interest rate. Let me see if I can dig it up again. Edit: here it is