## 1 Introduction  
The rapid advancement of robotics and artificial intelligence (AI) has transformed how humans perceive and engage with intelligent technologies. A key aspect of this evolution is the design of robots that function not only as machines but as social partners, tailored to coexist and collaborate with humans in diverse personal and professional environments. Recent studies emphasize that human-robot interaction (HRI) has emerged as a significant area of research, focusing on how different aspects of robot design--including embodiment, autonomy, and communication styles--influence user perception, trust, and engagement [1, 2, 3]. Embodiment, or the physical form of a robot, is particularly critical in shaping user experience. Previous studies have demonstrated that physical embodiment can significantly affect perceptions of believability, emotional engagement, and usability [4]. More recent research has reinforced these findings. [PERSON] et al. [1] highlighted that a robot's physical appearance, movements, and communication styles can influence user interaction, with human-like gestures leading to greater trust and satisfaction. Similarly, [PERSON] et al. [2]emphasized the importance of coherent nonverbal communication, noting that robots displaying synchronized gestures and physical presence significantly enhanced users' emotional responses. Furthermore, [PERSON] et al. [3] discussed how robots' abilities to convey emotions through embodiment are crucial for fostering natural and empathetic interactions. [PERSON] et al. [5] also highlighted how aligning robot behaviors with user expectations fosters more meaningful and effective interactions, particularly in collaborative settings. These studies underscore that embodiment directly impacts the quality of interaction, emotional engagement, and user satisfaction. Additionally, [PERSON] [6] noted that specialized robot designs tailored to specific tasks tend to enhance both usability and user satisfaction. [PERSON] [7] further observed that users often respond differently to robots with varying degrees of human likeness, suggesting that embodiment plays a key role in shaping perceptions of credibility and believability. The integration of robots into domains such as healthcare, education, and retail underscore the importance of understanding HRI. For instance, [PERSON] et al. [8] found that users are more likely to share sensitive information with robots perceived as neutral entities, emphasizing the potential role of social robots in therapy and counseling. Recent studies further highlight the growing applications of robots in these domains. In healthcare, [PERSON] et al. [9] discussed how robotic assistants are increasingly being used for elder care, supporting both physical and emotional needs. [PERSON] and [PERSON] [10] demonstrated that generative AI-driven robots improve customer service through personalized recommendations, enhancing engagement and satisfaction in retail settings. Similarly, [PERSON] and [PERSON] [11] found that social robots in STEM education significantly enhance interactive learning experiences, particularly in collaborative classroom environments. [PERSON] et al. [12] further elaborated on multimodal human-robot interaction, showing how robots capable of processing speech and gestures create more engaging educational settings. Despite the growing body of research, significant gaps remain in understanding how the interplay of physical embodiment and functionality influences user interaction. While studies have examined humanoid robots like Pepper in customer service settings [13,14] and telepresence robots like Double 3 in remote workplaces [15,16], limited attention has been given to direct comparisons between these distinct embodiments. Furthermore, as [PERSON] et al. [17] noted, the success of social and telepresence robots hinges on their ability to adapt to diverse user needs, yet few studies have systematically examined how these robots perform in controlled, comparative experiments.