Inside

@TR O It's all cool. I understand that you're trying to help and I truly appreciate your patience and perseverance!

You are most absolutely correct: most of the confusion comes from having different experiences and completing the level in different ways. You found a major unintended shortcut!

Spoiler: Shortcut

Your picture with the words "Tap and drag right" I am sure was not intended to work that way. That part was meant to be pushed by the draggable to the left of it with B in the middle as a spacer. Once pushed, B would fall down back into the contraption.

I wish we had a name for the contraption and a better name for the taxi. The level could have also benefited from a story that would have helped us understand both the parts and the intended solution.

It's a shame that your first uploaded image a couple of days ago led me to believe that you finished the level in the intended way. My mistake. Your shortcut explains everything!

Intended solution:

Spoiler: Step 1

On the outside of the octagonal contraption you'll find a big six block draggable (near the base and to the right of the win block). To the right of that big draggable on the next side you'll find a single-height window (4 blocks from the bottom). Through this window you'll see a brown metal block, which will act as the "first lift." Send B to this brown metal block. Once on it, pull out the big six block draggable to activate the first lift. You'll get a weird surprise when you see what pops up on the roof.

Spoiler: Step 2

Although there are ways to get B and R up to the roof using the first lift, it is not the intended way. Furthermore, R is only there as a surprise and is no longer pertinent to solving the level. So at this point we have B somewhere still inside the contraption. To find the "second lift," find the single-height window above the front door (where B spawned). To get B on this lift, first tap on the stone floor to the left of it through the window to the left of this one. Once B is very close to the second lift tap on the lift as it is going down. You can get B on the lift as it is going up as well, but you have to be very fast.

Spoiler: Step 3

With B now on the roof you'll see stairs to his right and a whole bunch of brown metal blocks, three sets in fact, two of which are draggable. Drag the outside one to the left fully and tap on the half metal pillar now at the bottom of a set of steps. Before B gets there, slide this draggable one space back to the right such that B will fall between the two metal half pillars. From here, tap on the stone block to B's left (behind B from our perspective). Now close the draggable (that B was just on) back to the full left position. Behind the stairs you'll see the second draggable with a handle seen below the little platform. Slide this one to the right to push against B, which will in turn push against the third set of metal blocks. Once in the fully right position, B should fall through a hole down back into the contraption and a big object in the center should start rising and falling. We're calling this the taxi.

Spoiler: Step 4

Now you have to find a double-height window directly opposite of where B fell down. You'll see a wedge in a ramp orientation through this window. Send B to the right of this wedge. Most of the time you'll receive a red x if you try to tap the spot, however, when the taxi is just in the right position, it will create a path to this spot and when you tap it, B will start moving. Remember to tap only once once you get the little bubble tap. Otherwise if you tap again and get a red x, B will stop moving. We want B to keep moving and get himself onto the taxi.

Spoiler: Step 5

From here it becomes a bit tricky because the level behaves differently each time. Often, when B first surfaces at the top riding the taxi, he is upside down in hover mode - and if you do nothing, he ends up getting spit out (from the inside of the contraption and) off the game space (usually).

Instead of "popping out" and off the game space, there are three possible solutions to finish the game:

1. [Not recommended:] Keep restarting and replaying the game until B simply pops off the taxi and onto the roof of the contraption, and from here simply walk B to the final lift by the win block (it happens sometimes);

2. [A controlled version of 1 and a partial shortcut:] As B comes up in hover mode, tap somewhere on the taxi to get B to stand up straight and stop moving. Then tap somewhere on the grey perimeter wall and watch B clearly miss and fall just beyond the wall from where he can simply walk to the final lift near the win block; or

3. [Which is more involved and likely the more intended solution:] As B comes up in hover mode, tap somewhere on the taxi one or two times to get him to stand up straight and stop moving. B will then ride the taxi back down. Then, when the taxi reaches the bottom, you can send B to the third interior lift. This one can be seen through a double-height window to the right of the front door. Once you got B to the roof (riding this third lift), then walk him to the exterior lift by the win block.

Spoiler: Step 6

To get B to walk along the roof of the contraption to the exterior lift by the win block, you'll have to get across the "first lift" when it is in the top position. You'll then want B on the other side of the in-floor draggable and time your final move such that B falls onto the exterior lift. To do this, pull the in-floor draggable to the left (the out position) and when the exterior lift is near its top position, tap on the part that is sticking out and then before B steps on it, pull the in-floor draggable back to the right (or in) position. Hopefully B wasn't running very fast and the exterior lift is in the topmost position for B to land on it. Otherwise B will miss and land outside the contraption, meaning you'll have to restart the entire level from the beginning.