Tangram Cube revisited

The F-Skewb caught my attention recently so I got it out and scrambled and solved it for the first time in a long time. I had to look up my strategy. It wasn't real easy to work with so I put it away and grabbed the Tangram Cube. The corners and long edges were not hard to solve, but the little edges and 6 little triangle centers stumped me, so I looked up my old posts from 2020 and 2017. Now I remember! Ha!

After solving it I wondered if I could figure out a quicker easier way to solve the last 6 little triangles. 

There is a double swap that is pretty easy. RLRL JW’ LRLR WJ’ Double Swaps top and left, and, front and bottom centers. 

(LJLJ’)x3 RLRL JW’ LRLR WJ’ 3-cycles bottom to right to left.

Here is the strategy I came up with in 2020:

1. Solve the two little corners. 1 twist max.
2. Solve the six big corners. Use Edge Flips, Up Replace Down, and The Move. 
3. Solve the three long edges, if necessary. If they are already permuted, but two need to flip, flip one, replace it with the other, flip it and move it back. If they are not yet permuted, flip-move-flip, in such a way that they end up in the correct places.
4. Permute the three little edges using The Move.
5. Orient the three little edges using (LAR)x2. This flips the edges at the top left and the back right. It also does a double swap of centers that are adjacent to said edges, so this could be used to solve some of the centers as you are orienting little edges.
6. Solve the remaining centers. (JAJ’A)x3 (WLW’L)x3 is a 3-cycle from Bottom to Back to Right. W’RW swaps Bottom and Right, so doing it before the 3-cycle let’s you go from Bottom to Right to Back.