No, kshayopasham of these three is not necessarily together.

1) Viryalabdhi, vaikriyalabdhi, and avadhigyan-labdhi

These are different powers / capacities:

• Viryalabdhi = special strength or energy
• Vaikriyalabdhi = ability to assume subtle, transformed, or modified forms
• Avadhigyan-labdhi = clairvoyant knowledge

Each is related to its own karmic condition and its own cause. So one does not automatically mean the others are present in the same way.

2) If only viryalabdhi has kshayopasham

Then virya can give strength, but vaikriya does not arise just from virya alone. Vaikriya-labdhi requires its own supporting kshayopasham / upasham conditions.

3) If only avadhigyan has kshayopasham

Then avadhigyan can arise, but that does not by itself produce vaikriya-labdhi.

4) If neither of these two has kshayopasham

Then also vaikriya-labdhi will not work on its own.

5) Can vaikriya-labdhi do its work independently?

No. Vaikriya-labdhi is not completely independent. It functions only when the required karmic subsidence/subsidence-destruction condition for that labdhi is present.

Simple conclusion

• Virya may support activity
• Avadhi gives knowledge
• Vaikriya gives transformation power

But vaikriya-labdhi needs its own cause. It cannot simply work because virya or avadhi is present.

If you want, I can also explain this in simple table form.