You are given a task to integrate an existing React component in the codebase

The codebase should support:
- shadcn project structure  
- Tailwind CSS
- Typescript

If it doesn't, provide instructions on how to setup project via shadcn CLI, install Tailwind or Typescript.

Determine the default path for components and styles. 
If default path for components is not /components/ui, provide instructions on why it's important to create this folder
Copy-paste this component to /components/ui folder:
```tsx
animated-text-cycle.tsx
import * as React from "react";
import { useState, useEffect, useRef } from "react";
import { motion, AnimatePresence } from "framer-motion";

interface AnimatedTextCycleProps {
  words: string[];
  interval?: number;
  className?: string;
}

export default function AnimatedTextCycle({
  words,
  interval = 5000,
  className = "",
}: AnimatedTextCycleProps) {
  const [currentIndex, setCurrentIndex] = useState(0);
  const [width, setWidth] = useState("auto");
  const measureRef = useRef<HTMLDivElement>(null);

  // Get the width of the current word
  useEffect(() => {
    if (measureRef.current) {
      const elements = measureRef.current.children;
      if (elements.length > currentIndex) {
        // Add a small buffer (10px) to prevent text wrapping
        const newWidth = elements[currentIndex].getBoundingClientRect().width;
        setWidth(`${newWidth}px`);
      }
    }
  }, [currentIndex]);

  useEffect(() => {
    const timer = setInterval(() => {
      setCurrentIndex((prevIndex) => (prevIndex + 1) % words.length);
    }, interval);

    return () => clearInterval(timer);
  }, [interval, words.length]);

  // Container animation for the whole word
  const containerVariants = {
    hidden: { 
      y: -20,
      opacity: 0,
      filter: "blur(8px)"
    },
    visible: {
      y: 0,
      opacity: 1,
      filter: "blur(0px)",
      transition: {
        duration: 0.4,
        ease: "easeOut"
      }
    },
    exit: { 
      y: 20,
      opacity: 0,
      filter: "blur(8px)",
      transition: { 
        duration: 0.3, 
        ease: "easeIn"
      }
    },
  };

  return (
    <>
      {/* Hidden measurement div with all words rendered */}
      <div 
        ref={measureRef} 
        aria-hidden="true"
        className="absolute opacity-0 pointer-events-none"
        style={{ visibility: "hidden" }}
      >
        {words.map((word, i) => (
          <span key={i} className={`font-bold ${className}`}>
            {word}
          </span>
        ))}
      </div>

      {/* Visible animated word */}
      <motion.span 
        className="relative inline-block"
        animate={{ 
          width,
          transition: { 
            type: "spring",
            stiffness: 150,
            damping: 15,
            mass: 1.2,
          }
        }}
      >
        <AnimatePresence mode="wait" initial={false}>
          <motion.span
            key={currentIndex}
            className={`inline-block font-bold ${className}`}
            variants={containerVariants}
            initial="hidden"
            animate="visible"
            exit="exit"
            style={{ whiteSpace: "nowrap" }}
          >
            {words[currentIndex]}
          </motion.span>
        </AnimatePresence>
      </motion.span>
    </>
  );
} 

demo.tsx
import AnimatedTextCycle from "@/components/ui/animated-text-cycle"

export function AnimatedTextCycleDemo() {
  return (
    <div className="p-4 max-w-[500px]">
        <h1 className="text-4xl font-light text-left text-muted-foreground">
            Your <AnimatedTextCycle 
                words={[
                    "business",
                    "team",
                    "workflow",
                    "productivity",
                    "projects",
                    "analytics",
                    "dashboard",
                    "platform"
                ]}
                interval={3000}
                className={"text-foreground font-semi-bold"} 
            /> deserves better tools
        </h1>
    </div>
  );
}
```

Install NPM dependencies:
```bash
framer-motion
```

Implementation Guidelines
 1. Analyze the component structure and identify all required dependencies
 2. Review the component's argumens and state
 3. Identify any required context providers or hooks and install them
 4. Questions to Ask
 - What data/props will be passed to this component?
 - Are there any specific state management requirements?
 - Are there any required assets (images, icons, etc.)?
 - What is the expected responsive behavior?
 - What is the best place to use this component in the app?

Steps to integrate
 0. Copy paste all the code above in the correct directories
 1. Install external dependencies
 2. Fill image assets with Unsplash stock images you know exist
 3. Use lucide-react icons for svgs or logos if component requires them
