I've worked on about 50 older model (7001, 8001) RedMax blowers and never had a bad coil. Just last week I took in four EBZ7500's and two of them had bad coils. One of them runs for about 10 minutes, then just cuts out instantly as if someone hit the stop switch. Unfortunately, the coil is $80. I really hope this isn't a sign that RedMax is going downhill now that they are relabeled Huskies.
I'd do as Fish says and rule out the tank vent first. When it bogs down, remove the cap. If it stays running, that's your problem. If it will not start again until the engine cools down, then it's likely the coil. If it is like the EBZ7500, you have to remove the recoil assembly to access the coil. If you have to install a new one, gap it with a business card. Many videos on Youtube showing how.