ALBANY, N.Y. — New York Gov. Andrew Cuomo on Wednesday said he intends to remain in office in the face of sexual harassment allegations that have weakened his support and led to calls for his resignation.

The Democratic governor, speaking somberly in his first public appearance since three women accused him of inappropriate touching and offensive remarks, apologized and said that he “learned an important lesson” about his behavior around women.

“I now understand that I acted in a way that made people feel uncomfortable,” Cuomo said. “It was unintentional and I truly and deeply apologize for it.”

Asked about calls for him to step aside, the third-term governor said: “I wasn’t elected by politicians, I was elected by the people of the state of New York. I’m not going to resign.”

Cuomo acknowledged “sensitivities have changed and behavior has changed” and that what he considers his “customary greeting” — an old-world approach that often involving kisses and hugs — is no longer acceptable.

But the allegations against the governor go beyond aggressive greetings.

Former aide Lindsey Boylan accuses Cuomo of having harassed her throughout her employment and said he once suggesting a game of strip poker aboard his state-owned jet. Another former aide, Charlotte Bennett, said Cuomo once asked her if she ever had sex with older men.

Both women rejected Cuomo’s latest apology, doubling down on their disgust after he issued a statement Sunday attempting to excuse his behavior as his way of being “playful.”