I used 2 in parallel for each side, for a total of 2x220uF = 440uF each side:
https://www.arrow.com/en/products/t55b227m6r3c0025/vishay
I measured the PCB pads distance and PCB space before I ordered them, then I searched for a cap size in arrow that could fit the space.
From the arrow link, this cap measures:
size (mm): 3.5 X 2.8 X 1.9
The larger size is 3.5mm, that fits on top of the PCB pads, with only a tiny bit of the PCB pads still showing.
2.8mm is how tall they will be in the PCB, because they are soldered side way.
1.9+1.9 =3.8mm is the 2 caps in parallel sandwich size, this size fits without any remaining space left in the PCB.
I can't measure them now, because they are soldered, but the datasheet has all the details.
I also found much more expensive options with higher capacity that could fit the space.
The ones I got had a good price/capacity/size relation, they are "ultra low" ESR and I like the brand.
The 100uF stock cap that was there measures 3.45 x 2.88 x 1.92 mm.
The second photo here has a better view of the caps I used:
https://www.head-fi.org/threads/the-zishan-dsds-corner.826185/page-137#post-14816714