Did joaquin phoenix win any oscars for supporting roles?

A Wikipedia entry for Joaquin Phoenix lists an Academy Award among his accolades, indicating that he has won a competitive Oscar. The excerpt does not specify the category of the award, so it is unclear whether it was for Best Actor, Best Supporting Actor, or another category. Phoenix is widely recognized for his supporting performances in films such as "To Die For" and "Quills", yet the evidence does not link these roles to an Oscar win. Because the source does not state that the Academy Award was for a supporting role, we cannot confirm that he has won an Oscar specifically in that category. Therefore, based solely on the provided evidence, we cannot affirm that Joaquin Phoenix has won an Oscar for a supporting role.