Price is only part of the decision when deals take weeks to close.
You're deciding which offer terms matter most so you do not lose the home or overpay to win it. My guidance is to match your terms to the way Tempe, AZ deals have been closing recently, not to what you wish the market would reward.
Here is the constraint I plan around based on the previous 30 days recent offers landed about 97.72% of asking last month in Tempe, AZ, and a typical sale took 48 days. Supply sat at 3.47 months, and 73 homes closed in the same period. The practical impact is that you want an offer that can survive the long middle of the transaction, not just the first signature. Some metrics were not reported for this period. Even so, when a typical sale takes 48 days, small missteps on timelines, paperwork, and contingencies can create leverage shifts midstream. Set your offer price with the 97.72% of asking benchmark in mind, then decide which terms you are willing to tighten to keep the deal clean if you are competing. Build your calendar around a typical 48-day path to closing so you can meet deadlines without scrambling. If you are selling and evaluating offers, favor the package that looks most likely to close within that kind of timeframe instead of chasing the highest headline number.
