feat: Use new compose conversation in conversation sidebar (#11085)

# Pull Request Template

## Description

This PR includes the implementation of the new Compose Conversation form
in the conversation sidebar, replacing the old one.

## Type of change

- [x] New feature (non-breaking change which adds functionality)

## How Has This Been Tested?

### Loom video

https://www.loom.com/share/4312e20a63714eb892d7b5cd0dcda893?sid=9bd5254e-2b1f-462c-b2c1-a3048a111683

## Checklist:

- [x] My code follows the style guidelines of this project
- [x] I have performed a self-review of my code
- [x] I have commented on my code, particularly in hard-to-understand
areas
- [ ] I have made corresponding changes to the documentation
- [x] My changes generate no new warnings
- [ ] I have added tests that prove my fix is effective or that my
feature works
- [x] New and existing unit tests pass locally with my changes
- [ ] Any dependent changes have been merged and published in downstream
modules

app/javascript/dashboard/components-next/NewConversation/components/ComposeNewConversationForm.vue

@@ -265,7 +265,7 @@ const handleSendWhatsappMessage = async ({ message, templateParams }) => {
 
 <template>
   <div
-    class="w-[42rem] mt-2 divide-y divide-n-strong overflow-visible transition-all duration-300 ease-in-out top-full justify-between flex flex-col bg-n-alpha-3 border border-n-strong shadow-sm backdrop-blur-[100px] rounded-xl"
+    class="w-[42rem] divide-y divide-n-strong overflow-visible transition-all duration-300 ease-in-out top-full justify-between flex flex-col bg-n-alpha-3 border border-n-strong shadow-sm backdrop-blur-[100px] rounded-xl"
   >
     <ContactSelector
       :contacts="contacts"