Is Kurama alive after Baryon mode?

Can anyone provide insight into whether Kurama is still alive after activating the Baryon Mode? This is a topic of much discussion within the Naruto fandom, and there seems to be conflicting opinions. Some believe that Kurama's life force was consumed entirely by the Baryon Mode, while others argue that there are hints suggesting he may have survived. It would be greatly appreciated if someone could clarify this matter and provide evidence to support their stance.