(R U R’ U’) (R’ F R2 U’ R’ U’) (R U R’ F’) (a headlight on L-face)
I think It better not to regrip at any part of the moves to avoid loosing time, especially at the beginning.
If you start with regrip (thumb on D-face), it will be necessary to regrip before R’ F R2 process.
It is not so harm to regrip just before the last Trigger (R U R’) during turning preceding U’. You can measure time with or without its regrip and choose the better one.