You asked

Is the sony a7 iii good in low light?

Yes. The a7 III is a full frame camera, and the sensor guide explains that full frame gets roughly one stop of low-light advantage over APS-C at the same framing and f-number. It also has stabilisation built into the body, which helps when you're shooting handheld in dim light.

Lens choice matters more than the body here. Fast primes gather the most light, so try the Sony FE 24mm f/1.4 GM, the Sony FE 20mm f/1.8 G, or the Sigma 24mm f/1.4 DG DN Art. If you want a zoom, the Sony FE 28-70mm f/2 GM keeps the aperture wide across a useful range. If video in the dark is your main goal, the Sony a7S III is the one built for that, though its 12 megapixels are little for stills.

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