Menu dropdown not working after adding slick.js

Kindly check this page: (I have removed the unwanted section here to make things less complicated).

After adding thumbnail carousal website top menu had stopped working.

After some digs I found out that "slick.min.js" is giving me trouble. If I removed this script menu dropdown work properly.

It will be great if someone help me in this regards. I have already spent 2 days and tried almost every solution which are on internet like adjusting JS sequence, css solution etc.

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