Light does not arrive instantly for you, or as seen from your material perspective.

But by being a matter entity, you live embedded in a spacetime frame of reference. You are forced to move always below the speed of light, so you always experience some amount of space and time. You can not escape from your own spacetime frame of reference, and your spacetime understanding of light speed phenomena as a spacetime process.

But the photon you launched from emission to detection felt your whole experiment (be it a lab or an intergalactic communication device) in an instant, no matter how much time it took from your perspective (be it a second or a thousand years).

The true reality of the speed of light is not the subjective spacetime intervals the different observers can experience. The true reality is the instantaneous transaction the photon performs between emitter and detector.

The "infinite speed" the photon feels always gets mapped as the speed of light in the different spacetime frames of reference of different matter observers. Their state of motion, and the energy density of their environment dictate how long or short the spacetime intervals appear to be.

You will never experience an infinite speed as an infinite speed inside your spacetime frame of reference. It will always appear as a carrier travelling at the speed of light. But then, “spooky action at a distance” will tell you that something is not quite right with what you observed. Some “coupled behaviour” took place, even when you could observe nothing else going from here to there. But you should understand that your “from here to there” is a single point for the thing that went “from here to there”, so it needs no additional communication mechanisms, it is already informed of everything that happened during your interval, at once.