“Hollywood meets Bollywood when a manic-depressive woman on the brink of a psychosis checks herself into the open section of an Indian lunatic asylum to find inspiration to make – with the help of her international therapy group – a Bollywood musical. But her frustrated shrink – ones a Bollywood star – is on to her.” TV series.

Grammar aside.

Best to shorten the logline and describe the core plot in the story:

After she is committed to an asylum in India, a Hollywood actress must...,

In the logline, as it is now, there is no clear motivation pushing her to act. What must she do or else? What is at stake?

LAKSMHI SINGS THE BLUES
When a manic depressive New Yorker visiting India has an psychotic episode in Mumbai, she is involuntarily hospitalized in a lunatic asylum. Inside she meets an unlikely group who together battle their mental illnesses through the power of music and dance in this beautiful triumph of the human spirit story.

Hollywood meets Bollywood when an American bipolar woman on the brink of a psychosis checks herself into the open section of an Indian lunatic asylum to find inspiration to make a Bollywood musical with the help of her colourful international therapy group. But her frustrated shrink ? ones a Bollywood star ? is on to her. -- TV series.