Parkour moves:

-climb
top view	side view
.....#..	.........
.....#..	.........
.....#..	.........
.....#..	.........
....@a..	.........
.....#..	.........
.....#..	......a..
.....#..	.....@#..

a one tile high wall is climable (to point a) directly from the ground

-catch
top view	side view
..#..#..	.........
..#..#..	.........
..#..#..	.........
..#..#..	.........
..#.@#..	.........
..#..#..	..#cx.b..
..#..#..	..#..a#..
..#..#..	..#..@#..

while in the jumping state, and touching the last z tile of a wall, the player should be able to catch the ledge (at point a)
from point a, the player can either climb (to point b) or make a wall jump (via the x trajectory) and get to another catch move of a higher wall (point c)

-jump
top view	side view
........	.........
........	.........
........	.........
..@..a..	.........
........	.........
........	...xx....
........	..@..a...
........	.........
simple jump from a standing point (through trajectory x) to land at point a

-runing jump
top view	side view
........	.........
........	.........
........	.........
..@>...@	.........
........	.........
........	....xxx..
........	..@>...a.
........	.........
a runing jump is the same as the normal jump, except the x trajectory is longer, and you need one tile of free space to get a run up. The trajectory is longer thus enabling covering of more space to land (at point a)

-wall jump
top view	side view
.....#..	.........
.....#..	.........
.....#..	.........
.....#..	.........
....@#..	.........
.....#..	...xx....
.....#..	..x..@#..
.....#..	.a....#..

-this shows the trajectory of a 2 tile wall jump and landing (at point a)

-jump trajectory
..xx.....................
.@..x....................
.....x...................
......x..................
......x..................
.......x.................
.......x.................
.......x.................
........x................
........x................
........x................
........x................
.........x...............
.........x...............
.........x...............
.........x...............
.........x...............
..........a..............

a normal jump trajectory, with the trajectory going straight down from point a, and while the player might not survive a great fall, landing in water can help with some higher jumps

-runing jump trajectory
..xxx....................
@>...x...................
......x..................
.......x.................
.......x.................
........x................
.........x...............
.........x...............
.........x...............
..........x..............
..........x..............
..........x..............
..........x..............
...........x.............
...........x.............
...........x.............
...........x.............
...........x.............
............a............

same as for normal jump, except that the trajectory is longer, thus covering more ground. The trajectory goes straight down after point a

While the player can't make those moves if they don't have the parkour trait, adding foldable ladders and utilizing grapling hooks should help you scale walls.