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You do not need a single point invested in str, period, you do not need to dupe tomes, you do not need anything other than the points you get from the Fade and str+ gear to temporarily boost your str to 26 to equip tier 3 WCA.
If you make choices that keep you from getting certain str+ items, you may need to invest a few actual points, but nothing major, and most of the str+ gear has alternatives, especially now that all the promotional DLC is available to everybody that can connect their console to the internet.
R.I.P. Eve English (Feb. 12, 1968 - Oct. 13, 2010) Momma Eve, you will be missed.