Photons are quantum particles and, as such, are described by quantum physics. The first thing to know about quantum physics is that none of it makes any sense, and all intuition you have about how things work no longer applies.
[this comment](https://www.reddit.com/r/AskPhysics/comments/p9nz1m/comment/ha00nby/?utm_source=share&utm_medium=mweb3x&utm_name=mweb3xcss&utm_term=1&utm_content=share_button) goes into more detail about what it means to be massless but photons do (kinda) have inertia but not quite in the same way as we are used to thinking about it.
But simply put, since photons have no mass, it doesn’t require any energy to make it go “infinitely” fast it is sort of like trying to divide by zero, and it approaches infinity. Accept nothing can actually go infinitely fast as the universe has a speed limit of the speed of causality (more often referred to as the speed of light) that is just under 300,000,000 m/s that is how fast light moves.
One thing to remember is that particles aren’t really objects in the way we normally think of them, and to accurately describe their behaviour, you need lots of maths that people study for years to try and understand.
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