ᐅ Indirect lighting with LED strips in aluminum channels – implementation

Hello everyone,
I would like to get your opinion and tips on the following matter: I want to renew/improve the indirect (ambient) lighting in our living room. I am attaching a photo of the corner in question. The crooked ceiling spotlight is due for removal, and I would like to install aluminum profiles with LED strips there instead.
Here is my current idea – please correct me if this doesn’t make sense or is a bad idea:
I would use a V-shaped profile and have the LED strips point towards the ceiling. I plan to mount the profile at about just above the shelf (around 80cm (31.5 inches) from the ceiling), and it should run around the corner, possibly extending to the window on the left and to the end of the shelf on the right.
I have never installed something like this before, so I wanted to ask for your opinions to check if my ideas are sensible.
Thanks in advance.
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In my opinion, the profile placed at half height looks rather modest. I would position it as high as possible and have it shining upwards.

Thank you for your response. My idea was to run the profile along the top edge of the shelf so that it is somewhat concealed (at least on the right side).
However, if that is too far from the ceiling for a good lighting effect, I will position it higher. Possibly aligned with the bottom edge of the roller shutter box?
How would you evaluate the light intensity for a total length of about 2.20m (7 ft 3 in)? Is it too strong or too weak?
Is a V-profile appropriate in this case? Are there profiles available that direct the light straight upward instead of angled away from the wall?

I would choose a light coving profile. In my opinion, a V-shape is suboptimal in this case.

The brightness should be dimmable, so naturally the LEDs as well. I can imagine milling a groove into the top edge of the shelf, then gluing the LED strip in. I find it hard to imagine anything else around the corner.

There’s still the matter of power supply. How do you plan to manage that?

Grooving a slot? My carpentry skills don’t go that far ;-)
Above the shelf, under the wallpaper, there is a junction box that was probably intended for a wall lamp connection, which I wanted to tap into.
Regarding brightness, I have no idea how bright a 2m (6.5 ft) long LED strip would be. What’s the use of it being dimmable if even the highest setting would still be too dim...