Layered Wall Running: With this, not only does Sonic runs on walls, but he can run on pillars or staircases or ramps that lead him across the area to another wall in front of or behind the one Sonic was previously on.
2D Circumventing Double Jump: With this, Sonic can do a double jump off of either side of the path he is on, and, given there is a path above or below said path, Sonic can use the same double jump to reach such a path. This is useable for accessing pathways that are only accessible through this method.
Triple Boost Dash: With this move, which works like the Stomp in Sonic Frontiers, Sonic can do three consecutive boosts when the player presses the boost button three times, the third being the most powerful.
Wall Drifting: On some walls, there will be spirals with empty gaps next to those pathways, and Sonic can run on those paths or similar ones on walls by doing the Drift on them to get around. This works on Spiral Ramps on walls, too.
Half Pipe Side Jumping: From 0:48 to 1:18 here...
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See the halfpipes here? With such pipes, or pipes less than 180 degrees or in between 180 and 360 degrees, Sonic can jump off the sides of these pipes to reach other halfpipes in the air, which allows him to reach multiple routes this way.
2D Area Drift: In some 2D sections, there are full 3D areas with flat ground that thus, are not 3D, but 2D. Sonic can actually use the Drift in these sections to not only change direction, but change the 2D plane he is on in these sections, from front and back to forward and backward, or diagonally, which can lead to alternate routes for Sonic to explore.
Hill U-Turn Drift: With a Sonic Adventure styled upgrade, Sonic can do U-Turns via the Drift to change direction on hills, which is useful for skateboarding-like physics.
3D Rolling Cages: Now, look at 1:04 here.
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Now, with the rolling cages in 3D sections, which are like the rolling cages from Flying Battery Zone from Sonic 3 and Knuckles, Sonic, depending on which direction he is facing before going through the cages, can "aim" like how he aims with the Cyan Wisp ability in the video before going off. This is semi-automatic, meaning Sonic can slow down if the player wishes to do so for some reason, but he can, with the Drift or stomp button, get out of this semi-automatic effect immediately. Still, this lets him go through the rolling cages in 3D much easier.