What are Baglioni's suspicions about Giovanni in Rappaccini's Daughter?

Baglioni first suspects that Giovanni's interest in Dr. Rappaccini proceeds from an interest in his daughter, Beatrice. She is famously rumored to be quite beautiful and knowledgeable, and her reputation is well known. When Baglioni next sees Giovanni on the street several weeks later, he remarks on how "'much altered'" Giovanni looks, and this also makes him worry for the young man. When Rappaccini happens to walk by on the street, looking pointedly at Giovanni, Baglioni instantly suspects that "'this man of science is making a study of [Giovanni]." He is absolutely sure now that Giovanni is in grave danger.

When Baglioni actually comes to Giovanni's home to check up on him, he tells Giovanni a story of an Indian prince who sent a beautiful woman to Alexander the Great, and this woman had developed a poisonous nature as a result of her upbringing. He goes on to tell Giovanni that he suspects Rappaccini has brought this story to life by subjecting his own daughter to such an upbringing. Because he seems to suspect that Giovanni has fallen in love with Beatrice, he gives the young man an "antidote" that he claims will rid her of her poisonous nature.

In "Rappaccini's Daughter," what does Baglioni’s story reveal about his suspicions regarding Giovanni? How does Giovanni perceive this story?

Professor Baglioni, when he sees Giovanni looking so different from the first time they met, grows convinced that Doctor Rappaccini has been making a study of the young man. Baglioni claims to know the look on Rappaccini's face—the doctor passes them with a look of "piercing and active intellect"—and he is certain that Rappaccini has made Giovanni the subject of one of his experiments. Giovanni, however, suspects that Baglioni is actually trying to "make a fool of [him]," and he breaks away from Baglioni and leaves the older man behind. Giovanni's defensiveness seems to show that his pride has overwhelmed his judgment. He does not recognize Baglioni's concern for what it is, and he shrugs off the one person he knows who could actually help him. After Giovanni departs, Baglioni gives further voice to his concern for the young man, as the "son of [his] old friend." The professor's own pride also flares up as well, however, as he remarks on the "impertinence" of Rappaccini to "snatch the lad out of [his] own hands [...] and make use of him for his infernal experiments." He seems just as upset by the fact that Rappaccini is preying on someone associated with Baglioni as he is that Rappaccini is preying on Giovanni at all. Later, when Giovanni reaches his lodgings, old Lisabetta offers to take him into Rappaccini's private garden, and he even suspects that this could be some trick—based on what Baglioni said to him—but he feels the need to see Beatrice no matter what. Thus pride, and perhaps curiosity or lust, has superseded his judgment.