I can't say I know for sure. It's hard to figure some mechanisms out from just pictures.
It would appear that springs external to the gearbox pull the tips of the disconnector sear (A) and switch disconnector (B) towards the lower front corner of the gearbox (towards bottom right of second pic).
I think the selector position shown in the first pic is close to the semi auto setting. The switch disconnector is preset past the last top tooth so my guess is that the disconnector sear would pull the last tooth on the first sector gear cycle.
The T89 sector gear has a lobe shape which looks like it's set up to pull the disconnector sear the left with each rotation. I think TM may have left the semi auto shape similar to the original sector design on the T89 sector. I'm not sure why. It's not shaped right to interact with any of the parts shown. It's tip is much closer to the axle than the sharp tip which has a surface which is coradial with the sector (points along a radius of the sector). Both gears have the same number of teeth so I think the new gear shape may be compatible with other mechboxes. I'm not sure, but it looks like the radial feature (new surface) is not as tall as the original disconnector lobe. Because of this it might clear over the usual semi auto disconnector in V2 gearboxes so the new sector gear might be backwards compatible with classic designs. This would allow TM to switch to stocking only one sector type for nearly all of their AEGs which simplifies manufacturing and stocking issues for them.
I think if you move the sector more to the left (first pic) the disconnector is preset so the disconnector sear will catch the first tooth which would give 3 pulls before it runs out of teeth. I think that when the last tooth is pulled, the surface the sidefeature on the disconnector (pic 2) triggers the release of the sprung switchblock and stops the firing cycle.
I think the two bottom teeth in the disconnector latch onto features in the nylon switch housing which ratchets the disconnector to the left one step with each disconnector sear cycle. I think the nylon switch block holds the disconnector higher so it can be grabbed by the disconnector sear.
I think if the selector plate is moved to the right (pic 1), the disconnector sear is pulled to the left end of the track (pic 2) so the side feature on it does not get pulled by the sector catch. I'm guessing that this would be the full auto setting. I'm guessing that allowing the selector has such a long moving track to allow the selector switch to turn about 270 deg for 4 unique positions for a safe setting where electrical connections are opened in the nylon switchblock.