Fixing typo + other things I see in the doc

README.md

@@ -158,7 +158,7 @@ Master `fhEVM` and build smart contracts using these resources:
 - 📘 [**Comprehensive fhEVM Documentation**](https://docs.zama.ai/fhevm)  
   Dive deep into Zama's detailed guide for utilizing the full potential of fhEVM.
 
-- 🤖 [**ZAMA Solidity Developer (Modified ChatGPT Model)**](https://chatgpt.com/g/g-67518aee3c708191b9f08d077a7d6fa1-zama-solidity-developer)  
+- 🤖 [**Zama Solidity Developer (Modified ChatGPT Model)**](https://chatgpt.com/g/g-67518aee3c708191b9f08d077a7d6fa1-zama-solidity-developer)
   Accelerate your smart contract development with AI-powered assistance.
 
 ### **Development templates**

docs/fundamentals/decryption/decrypt.md

@@ -70,7 +70,7 @@ contract TestAsyncDecrypt is SepoliaZamaFHEVMConfig, SepoliaZamaGatewayConfig, G
 
 Remember our [**Encrypted Counter**](../../getting_started/first_smart_contract.md) contract from before? Here’s an improved version of it, upgraded to support decryption:
 
-```
+```solidity
 // SPDX-License-Identifier: MIT
 pragma solidity ^0.8.24;
 
@@ -169,7 +169,7 @@ describe("EncryptedCounter3", function () {
     // Wait for decryption to complete
     await awaitAllDecryptionResults();
 
-    // Check decrypted value (should be 3: initial 0 + three increments)
+    // Check decrypted value (should be 5: initial 0 + an increment of 5)
     const decryptedValue = await this.counterContract.getDecryptedCounter();
     expect(decryptedValue).to.equal(5);
   });

docs/fundamentals/inputs.md

@@ -113,7 +113,7 @@ This example demonstrates a function that performs multiple encrypted operations
 }
 ```
 
-### Example validation in the `encyrptedERC20.sol` smart contract
+### Example validation in the `encryptedERC20.sol` smart contract
 
 Here’s an example of a smart contract function that verifies an encrypted input before proceeding:
 
@@ -179,7 +179,7 @@ contract EncryptedCounter2 is SepoliaZamaFHEVMConfig {
 }
 ```
 
-### Tests of for the Counter contract
+### Tests of the Counter contract
 
 ```ts
 import { createInstance } from "../instance";

docs/guides/contracts.md

@@ -4,7 +4,7 @@ This guide explains how to use the [fhEVM Contracts standard library](https://gi
 
 ## Overview
 
-The **fhEVM Contracts standard library** streamlines the development of confidential smart contracts by providing templates and utilities for tokens, governance, and error management. These contracts have been rigorously tested by ZAMA's engineers and are designed to accelerate development while enhancing security.
+The **fhEVM Contracts standard library** streamlines the development of confidential smart contracts by providing templates and utilities for tokens, governance, and error management. These contracts have been rigorously tested by Zama's engineers and are designed to accelerate development while enhancing security.
 
 ## Installation
 

docs/guides/debug_decrypt.md

@@ -2,8 +2,9 @@
 
 This guide explains how to use the `debug.decrypt[XX]` functions for debugging encrypted data in mocked environments during development with fhEVM.
 
-> [!WARNING]  
-> The `debug.decrypt[XX]` functions should not be used in production as they rely on private keys.
+{% hint style="warning" %}
+The `debug.decrypt[XX]` functions should not be used in production as they rely on private keys.
+{% endhint %}
 
 ## Overview
 
@@ -71,8 +72,9 @@ const plaintextValue: bigint = await debug.decrypt64(handle64);
 console.log("Decrypted Balance:", plaintextValue);
 ```
 
-> [!NOTE]  
-> To utilize the debug functions, import the [utils.ts](https://github.com/zama-ai/fhevm-hardhat-template/blob/main/test/utils.ts) file.
+{% hint style="info" %}
+To utilize the debug functions, import the [utils.ts](https://github.com/zama-ai/fhevm-hardhat-template/blob/main/test/utils.ts) file.
+{% endhint %}
 
 For a more complete example, refer to the [ConfidentialERC20 test file](https://github.com/zama-ai/fhevm-hardhat-template/blob/f9505a67db31c988f49b6f4210df47ca3ce97841/test/confidentialERC20/ConfidentialERC20.ts#L181-L205).
 
@@ -102,8 +104,9 @@ function verifyType(handle: bigint, expectedType: number) {
 
 ### Environment checks
 
-> [!CAUTION]
-> The functions only work in the `hardhat` network. Attempting to use them in a production environment will result in an error.
+{% hint style="danger" %}
+The functions only work in the `hardhat` network. Attempting to use them in a production environment will result in an error.
+{% endhint %}
 
 ```typescript
 if (network.name !== "hardhat") {

docs/guides/frontend/webapp.md

@@ -18,7 +18,7 @@ You can also use [this template](https://github.com/zama-ai/fhevmjs-vue-template
 
 You can also use [this template](https://github.com/zama-ai/fhevmjs-next-template) to start an application with fhevmjs, using Next + TypeScript.
 
-## Using the mocked coprocessor for front end
+## Using the mocked coprocessor for frontend
 
 As an alternative to use the real coprocessor deployed on Sepolia to help you develop your dApp faster and without needing testnet tokens, you can use a mocked fhevm. Currently, we recommend you to use the `ConfidentialERC20` dApp example available on the `mockedFrontend` branch of the [React template](https://github.com/zama-ai/fhevm-react-template/tree/mockedFrontend). Follow the README on this branch, and you will be able to deploy exactly the same dApp both on Sepolia as well as on the mocked coprocessor seamlessly.
 

docs/guides/loop.md

@@ -43,7 +43,7 @@ However, this is sometimes not enough. Enhancing the privacy of smart contracts
 
 For example, if implementing a simple AMM for two encrypted ERC20 tokens based on a linear constant function, it is recommended to not only hide the amounts being swapped, but also the token which is swapped in a pair.
 
-✅ Here is a very simplified example implementations, we suppose here that the the rate between tokenA and tokenB is constant and equals to 1:
+✅ Here is a very simplified example implementations, we suppose here that the rate between tokenA and tokenB is constant and equals to 1:
 
 ```solidity
 // typically either encryptedAmountAIn or encryptedAmountBIn is an encrypted null value