The nearest Dulux colour to Benjamin Moore Hale Navy is Dulux Sapphire Splendour (LRV 5.3), measured at ΔE 3 from the original. You'll also see it spelled Sapphire Splendor in some Dulux paperwork — same colour, same figure, just the American spelling sneaking in.
Now, a word on what ΔE 3 actually means. Anything under 1 is imperceptible, under 2.5 is what I'd call very close — close enough that nobody but a colour scientist with a spectrophotometer would clock the difference. ΔE 3 sits just outside that band. So Sapphire Splendour is a *good* match, but it's not invisible. Side by side on the same wall in raking light, a sharp eye might catch a whisker of difference in the undertone. Across a whole room, in normal conditions, you'd never know.
Hale Navy is that brilliant deep, slightly soft navy that Benjamin Moore are rightly famous for — not quite black, not quite blue, with a touch of warmth that stops it going cold and corporate. Dulux Sapphire Splendour carries that same deep-but-liveable navy character, which is exactly why it lands as the closest hit in the Dulux deck.
Here's my honest steer though: if you've fallen for Hale Navy specifically, and Benjamin Moore is available to you, buy the Hale Navy. A ΔE 3 substitution is the sort of thing worth doing for trade pricing or availability, not for the sake of it. You picked the colour for a reason.
If you do go Dulux for practical reasons, get a sample pot of Sapphire Splendour and paint two coats on a bit of lining paper. Move it round the room — navies shift hard between daylight and lamplight, and a north-facing wall will pull it cooler and moodier than a sunny south aspect. Live with it a couple of days before you commit the lot.