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I haven't used constructs much against monsters, mostly for puzzle solving, but the homing carts are fun. Used one in the big pirate ship under the island in the far SE corner. Also, although I fought three of the four regional bosses in entirely conventional fashion, the sludge boss looked like being a pain, so I put a template for homing-cart with hydrant on the front and construct-head+beam-emitter on top. Dropped one in the first stage, another in the second stage. Death by roomba (well, assisted by roomba), very satisfying.
TOTK.
Completed the battery so thought I'd try something out other than two fans and a steering stick. Went and spend 50 large zonaite charges in dispensers and just messed around with the random drops.
Put a homing cart on the ground. Put a stabiliser on either side so it can't be flipped easily. Put a frost emitter on top of the cart. Put a beam emitter in front of the cart. On top of the frost emitter put a big wheel on its side. On the big wheel, put 8 beam emitters, evenly spaced. Save it as a favourite. Carry it to anything taller than a bokoblin. Hit it. Run.
Hinox, frox, moblin, molduga, boss bokoblins, even lynels. The only thing it struggled with is a gleeok because it kept flying off. But im going to experiment with construct heads between the wheel and each beam emitter... Costs 42 zonaite, so if you've got a surplus....