Project dropdown doesn't update

### 👟 Reproduction steps

1. Create a project
2. Open the project dropdown

### 👍 Expected behavior

It has the new projects

### 👎 Actual Behavior

It doesn't:

Despite the org having 2 projects:

### 🎲 Appwrite version

Appwrite Cloud

### 💻 Operating system

Linux

### 🧱 Your Environment

_No response_

### 👀 Have you spent some time to check if this issue has been raised before?

- [x] I checked and didn't find similar issue

### 🏢 Have you read the Code of Conduct?

- [x] I have read the [Code of Conduct](https://github.com/appwrite/.github/blob/main/CODE_OF_CONDUCT.md)