This type of noise is normal for underexposed footage. There simply isn't enough light fed to the sensor for proper clean darks. Furthermore, the noise is very visible here because your blacks are lifted with the log-ish profile; this also lifts the noise and makes it more apparent.
Neat Video will help a bit, but will soften the image. Better play with ACR's noise reduction first and see where it gets you. But the best you can do is pull black down to hide the noise. You will need to pull it down in correction anyway, because its too high for a proper image.
It is already too late, ofc, but as a general guideline: in low light scenes it is better to raise the ISO in camera in order to bring the image up. With 5dm3 raw iso 1600 is fine, 3200 is useable.
Neat Video will help a bit, but will soften the image. Better play with ACR's noise reduction first and see where it gets you. But the best you can do is pull black down to hide the noise. You will need to pull it down in correction anyway, because its too high for a proper image.
It is already too late, ofc, but as a general guideline: in low light scenes it is better to raise the ISO in camera in order to bring the image up. With 5dm3 raw iso 1600 is fine, 3200 is useable.