I mentioned Enicar earlier, and so I thought I'd back up the mention. The watch I had in mind was the Seapearl, and if we are looking for firm documentary evidence, then there's a trademark filed in 1953:
As opposed to Submariner which was 1954:
By 1956, the Seapearl was, as you would expect in a thread started by Rajen, on the summit of Everest as the watch of choice of the Eggler expedition. That's not the first Seapearl, but a later one, the Seapearl 600
Then of course, in 1958 the US Navy famously tested the Blancpain, Sub and Seapearl and concluded that the Sub was not sufficiently waterproof (5.1.1) which is rather a critical feature in a dive watch.
So, looking for explicit dive watches (after the thirties Omega Marine) you get - at least -the Seawolf, Seapearl and Fifty Fathoms. None of which leak. Of course, there's also the later Taubert Borgels using the 'Aquadura' system which were tested down to 120m in the 1930s.
While Mido made a big deal of the Taubert tech,
https://www.midowatches.com/uk/mido-...datometer.html
it was found in a range of watches, including Patek and, more affordably, West End as well as the earlier Borgels like the one above in the axolotl tank. So if you really want the first traditionally shaped divers watch, as used by Hillary 1951:
then there's loads on ebay for the price of a pizza.