Shall i develope a Google word space product to participate in Google gemini competition
Welcome to the forum!
Are you asking if you can? Yes, absolutely.
Minor note: Asking “shall I?” is basically asking “Am I going to do this?”
It took me a second to understand what you meant, since the answer to “Shall I do this?” would be “I don’t know, only you can submit your own project my friend” 
I mean do i eligible, if i develope an app in google word space environement?
Any language or environment counts, as long as your code uses Gemini.
Here’s a presentation by Google about how to use Gemini with Apps Script:
