Indirect lighting with LED strips in aluminum profiles - implementation

Hello everyone,
I would like to get your assessment or tips on the following matter: I would like to renew/improve the indirect (background) lighting in our living room. I am attaching a photo of the relevant corner. The crooked ceiling spotlight should be retired, and I would like to install aluminum profiles with LED strips there.
This is how I currently imagine it - please contradict me if this is nonsense or otherwise unfavorable:
I would take a V-shaped profile and have the LED strips shine towards the ceiling. I would place the height of the profile roughly just above the shelf (about 80 cm from the ceiling), and it should run around the corner, possibly 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 opinions here to check my ideas.
Thanks in advance.
N

The profile at half height looks modest to me. I would position it as high as possible and yes, radiant upwards.

Thank you for the 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). But if that is too far from the ceiling for a good light effect, I will position it higher. Possibly in line with the bottom edge of the roller shutter box? How is the luminous intensity to be assessed with a total length of about 2.20 m? Too strong/too weak? Is the V-profile the right one here? Are there profiles that are directed straight upwards instead of angled away from the wall?

I would use a light cove profile. V is, in my opinion, suboptimal in this case.

The brightness should be dimmable, so of course the LEDs as well. I could imagine milling a groove into the upper edge of the shelf. Then glue the LED strip in. I find it hard to imagine anything else around the corner. The power supply still remains. How do you want to accomplish that?

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