WP-Staging affects live site automatically

I installed the wp-staging plug-in and cloned my live site. However, I noticed that when I make any modification on staging it’s changed automatically to the live site without doing any push to prod. Beyond that when I open the staging site I can not see the orange bar that indicates you’re in the stage environment.

I don’t understand why is this happening. Anyone could tell me how can I solve this issue?

*My plug-in is not pro.

I appreciate your help on this subject.

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