The phrase "gotten near" can be replaced with a variety of synonyms, each conveying a slightly different meaning. "Approached" suggests a deliberate and purposeful movement towards something or someone, while "neared" is a more general term that can encompass any type of proximity. "Drawn close" implies a gradual and perhaps more subtle movement towards something, while "edged towards" suggests a slow and cautious approach. "Moved in on" has a more aggressive connotation, while "inched towards" emphasizes a slow and deliberate advancement. Ultimately, the choice of synonym depends on the context and tone of the sentence in which it is used.