Trademark rights arise from use in commerce, not registration. The business using "pulse Reno" is the senior user compared to you, even if it has not registered the trademark. Since both of you are operating in Reno, the main issue is whether proposed trademark would cause confusion among consumers. Without knowing a great deal more information, I could not advise on the likelihood of consumer confusion. You might be able to argue that the term "pulse" is generic or descriptive, and combining it with "Reno" cannot violate trademark rights. But you face a big uphill battle here. You are practically asking to be sued if you proceed with your plan. Unless you have a big war chest to pay lawyers to defend you litigation for trademark infringement, you would be wise to select a different name for your magazine.
You are asking a bunch of questions after already having done that several times before. Avvo is not a recipe for avoiding hiring competent legal counsel, it's a place to find one to hire. Use it for what it's intended. You are here asking because you are in a mess due to not hiring an attorney. That was foolish. Don't continue. You have a potential conflict and you are in over your head, which is why you are here asking questions. Do the smart thing an call a business attorney, a trademark attorney or an Internet attorney. Any one of those should be able to help you sort through this. My choice for your issue would be a business lawyer, as your mess in regard to your business name tells me you likely have many other legal problems you have not even considered.
I am not your lawyer and you are not my client. Free advice here is without recourse and any reliance thereupon is at your sole risk. This is done without compensation as a free public service. I am licensed in IL, MO, TX and I am a Reg. Pat. Atty. so advice in any other jurisdiction is strictly general advice and should be confirmed with an attorney licensed in that jurisdiction.
I agree with the prior answers, you should engage a competent attorney to advise you before making a business decision which will have big effects in the future.