Capillary action on capillary joints

Note that I am not an expert in capillary forces. The following is just the result of me searching for the applicable laws. If there is a mistake in my line of argument, I will delete this answer.

Applying $$h={{2 gamma cos{theta}}over{rho g r}}$$ to a tube of pure type T1 yields $$h={{2 cdot 0.075 N/m cdot cos{0}}over{1000 frac{kg}{m^3}cdot 10 frac{N}{kg}cdot 2cdot 10^{-4}m}}=0.075m = 7.5 cm$$ So if the capillary joint is only 5 cm above the water surface, it is clear that the height of the water at least reaches the capillary joint.

But then the conditions of a tube of type T2 apply: $$h={{2 cdot 0.075 N/m cdot cos{60°}}over{1000 frac{kg}{m^3}cdot 10 frac{N}{kg}cdot 2cdot 10^{-4}m}}={{0.075 N/m cdot 0.5}over{1 frac{N}{m^2}}}=0.0375m = 3.75 cm$$ So once the the fluid reaches the capillary joint at 5 cm height, the capillary forces inside T2 are not sufficient to lift it beyond that level.

The (dynamic) physical reality will probably look something like: the fluid level rises to the capillary joint at 5cm, but then the capillary forces suddenly decrease and so the fluid level tries to go below 5cm, where it starts lifting again. This oscillatory movement will eventually be damped (due to viscous forces), and the final level will settle to 5cm.

So the reference solutions seem to be right!