Are any of the sensor cleaning kits worth trying?
I've only done it once, many years ago, using eclipse fluid and sensor swabs. I read (maybe fake news) that different sensors require different fluid. Actually, here is the answer for your camera https://www.cameraclean.co.uk/Sensor_Swab_Specs.php?make=Sony&model=A6000
If not already, I would start with a Giottos AA1900 rocket air blower.