1995 montero 3.0 no spark on coil #3

It sounds more like a fuel problem to me then a bad coil or spark ign the spark should be blue but its hard to see in daylight
You say you rebuilt the carb are you sure your main mixture jets are at least 2 to 3 turns out off the stops .
Try pouring fuel down the barrel fill the float bowl if it runs then dies its fuel don't let it catch unfire you should have 45 sec. of run time then adjust the the mixture screws 2 turns is base but when its is running good turn them in 1 at a time and give it 30 sec. to adjust until it starts to stumble then back it out a 1/4 two 1/2 turn then repeat on bank 2

The coils are fired by the ECM, check all the wires to the ECM from the coils and make sure the signal is getting through and you don't have a wiring issue at the engine firewall connector on the driver side firewall.

As you standing in front of the engine looking at the coil pack from left to right....2-5-4-3-6-1. cylinders 1-3-5 are on the passenger side and 2-4-6 are on the drivers side.

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If you are positive that you have no spark than you either have a wiring problem to the computer or the computer has a bad "Driver" in it. Don't guess on this one. The ECM is very expensive. Get a pro to scan the computer and perform the necessary pin-point tests

The coils get power from the ecm. I would check all the ground wires between the body and the engine. Even if you just add a few. Take a wire around the same gauge as a lead cord, put two ring terminals on it and use some of the screws like a bracket hold down bolt on the firewall and a bracket on the engine. Make sure you clean the paint off of the area the wires will be contacting to make a good connection. If that doesn't help, you may have a bad ecm sending too much voltage to the coils.

coil is continuous electric, spark comes out of distributor cap . if you have a timing light hook to wires near plug for spark. no spark look at ignition switch. there is a bleeder valve on fuel rail check for pressure. check ECM fuze.

have the crankshaft sensor checked.

did you reuse the balace shaft if you did have you check the teeth or it may ecm problem

check the signal voltage going to afected coil harness, should be geting 12v. if its 0, the you may have a broken wire or pin on jack for that coil assembly

please try checking the contiunity of the ignition cable (spark plug cable) and the spark plug itself, if ok check the distribution cap and rotor for the contacts, good luck