“How to take this aspect : Accepting our destiny and move on patiently by faith in Bhagvan or A thought to change this situation to positive by deep prayers to Bhagvan is itself a destiny (play) by Bhagvan ?”

Both the scenario are the same from dualistic point of view

Let’s see
“Accepting our destiny”

To ” accept a destiny ” is an action and action must be preceded by a thought and for a appropriate thought to happen there must be an appropriate situation in space and time and there should be a mind through which the thought and action can be executed in the given space and time.

Let’s take the scenario what you have told

“To do deep prayers for changing the impossible situations”

Let’s take an impossible situation somebody’s mother has been diagnosed with a terminal cancer with only few months survival and the son wants a cure with deep prayers.

So the destiny for the son is designed like this

First the son (should be identified as Atman) needs a mind which has a tendency to show love for his mother

Then Atman needs a body to be born as a son to a particular mother who has the tendency to love her son

Once the Atman manifests as the mind and body to a loving mother in a particular place and time appropriate to show love, there should be a tendency for the mother’s body to develop terminal cancer at a particular time and place, and finally the tendency of the son to do deep prayers for a cure

As one can see the son (manifested Atman) had no control over the destiny , but only can experience it.

So the thought to do deep prayers is itself a destiny and cannot be free will

NAVAM NAVAM PAATHRAM AHAM DAYAAYAAHA

Every sthothram is a prayer by the way
Dasanudasan