docs: Migrates Genkit sample apps, integrating them into the larger Firebase corpus of samples. A companion PR, on branch i1521 in the Genkit repo, deletes them from their location in that repo.

MERGE THIS PR BEFORE THAT OTHER ONE.

Author: thedmail

genkit/README.md

@@ -2,9 +2,11 @@
 
 Take a look at some samples of Genkit in use:
 
-- [js-coffee-shop](samples/js-coffee-shop/): "AI barista", demonstrating simple
+- [js-coffee-shop](js-coffee-shop/): "AI barista", demonstrating simple
   LLM usage
-- [js-menu](samples/js-menu/): Progressively more sophisticated versions of a
+- [js-menu](js-menu/): Progressively more sophisticated versions of a
   menu understanding app
-- [chatbot](samples/chatbot/): A simple chatbot with a JavaScript frontend
-- [js-angular](samples/js-angular/): Demo of streaming to an Angular frontend
+- [chatbot](chatbot/): A simple chatbot with a JavaScript frontend
+- [js-angular](js-angular/): Demo of streaming to an Angular frontend
+- [js-schoolAgent](js-schoolAgent/): A simple school assistant system with a routing agent and specialized agents
+- [prompts](prompts/): Shows off several prompting techniques