Hi Raj, is the search icon expected to be clickable with an associated click action or is expected to be a static icon displayed on the Input element?
If the ask is to display a static icon on the field, I would suggest you create a reusable style format for the input box and define the required styles in the Skin. this would help you maintain a simpler code as opposed to writing a set of CSS style attributes in an external CSS file.
You should be able to reverse engineer this based on what designer studio has done. They're using their own dynamic layout formatting here, but more importantly it looks like the positioning of this is driven off their custom CSS. Here's a proof of concept of me moving it even further in.