Smallest Wavelength of light possible?

Question

I was thinking about blue-shifting of light and I couldn't help my self but think about the limits of blue shifting mechanism and since we know energy of a photon is directly proportional to the wavelength of light by the well-known formula: $E = \frac{hc}{\lambda}$

We know this therefore we can say that the maximum energy an single photon can carry must be equal to the energy of the universe so we can say $E = E_{universe}$ now if we assume the energy of universe is $ E_{universe} = \infty$ then we could also say that $\lambda$ must be $0$ which cannot make any sense as it implies all the waves all exists in the same place. Which in my opinion seems unimaginable.

That said, we must assume the $E_{universe}$ is an finite value therefore suggesting $\lambda = \frac{hc}{E_{uniserve}} $. Now we can say as the energy increases the the $\lambda$ must decrease in value, but I concluded there must come a point at which the wavelength gets smaller than the smallest length possible $h$ (planks length) surely that must mean that after a photon reaches that level of blues-shifting it should be impossible for it to blue-shift anymore, as any more blue shifting may push it beyond the limit of $h$ and therefore break laws of physics but I am a mere speculative student therefore can someone answer my questions.

So my question is what is the limit of the most energetic wavelength in electromagnetic-spectrum? If so what if a photon attains such energy levels what will happen if we attempt to blue-shift the light even more, what will or should happen?