[rust] fix readme (#1327)

### Description

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### Demo URL

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### Type of Change

- [ ] New Example
- [ ] Example updates (Bug fixes, new features, etc.)
- [ ] Other (changes to the codebase, but not to examples)

### New Example Checklist

- [ ] 🛫 `npm run new-example` was used to create the example
- [ ] 📚 The template wasn't used but I carefuly read the [Adding a new
example](https://github.com/vercel/examples#adding-a-new-example) steps
and implemented them in the example
- [ ] 📱 Is it responsive? Are mobile and tablets considered?

Author: ecklf

rust/axum/README.md

@@ -33,12 +33,6 @@ https://rust-axum.vercel.app
 - `Cargo.toml` - Rust dependencies and binary configuration
 - `vercel.json` - Vercel deployment configuration
 
-## Deploy
-
-Deploy the example using [Vercel](https://vercel.com?utm_source=github&utm_medium=readme&utm_campaign=vercel-examples):
-
-[![Deploy with Vercel](https://vercel.com/button)](https://vercel.com/new/clone?repository-url=https://github.com/vercel/examples/tree/main/rust/axum&project-name=rust-axum&repository-name=rust-axum)
-
 ## Development
 
 Clone the repository:

rust/hello-world/README.md

@@ -32,13 +32,7 @@ https://rust-hello-world.vercel.app
 - `api/slower-bench` - Performance benchmark
 - `Cargo.toml` - Rust dependencies and multiple binary configurations
 
-## Deploy
-
-Deploy the example using [Vercel](https://vercel.com?utm_source=github&utm_medium=readme&utm_campaign=vercel-examples):
-
-[![Deploy with Vercel](https://vercel.com/button)](https://vercel.com/new/clone?repository-url=https://github.com/vercel/examples/tree/main/rust/hello-world&project-name=rust-hello-world&repository-name=rust-hello-world)
-
-### Development
+## Development
 
 Clone the repository: