Bronze Age industrialisation (IMO) would likely have to be largely about large-scale use of water-driven mechanical energy. Bronze furnaces aren't great, boilers are going to be more fragile, and stone is a pain to warm up.
As with most Bronze Age scenarios, I'd look towards Egypt for 3 reasons.
1) The Nile - an incredible amount of mechanical power.
2) Noria - according to
this the Ancient Egyptians had the Noria, so they already understood the idea of using the Nile for mechanical power
3) Agriculturla fertility - the Nile valley had some of the largest food surpluses in history.
The problem is "Why do it?" We aren't doing transport as the Nile covers that. Weaving en-masse? Lots of cheap labour.
But I think there is only possibility. Response to the droughts associated with the Bronze Age Collapse. If we accept that drought was a major issue, that impoverished Egypt - then one solution is to increase the supply of stored water. Potentially by damming lesser tributaries of the Nile, or even water towers that could be used to release water to farms during dry periods.
Using the nile to power water-lifts to store water is one way that the Nile could provide industrialisation, as all the mechanics for water lifting could be used for bellows for forges, helping Egypt with Iron, could help with mechanised weaving (if thats remotely possible at this point.)
Plus, this is EGYPT. They can build big if they saw a need to. Perhaps a Pharaoh has a particular affinity for the Nile, and so chooses to mix it up with their burial - building a dam on a tributary as their funerary 'palace' so they can be a "Giver of Water" for all eternity.