feat(remote): Enhance remote branch management and stability

Improved handling for deleting remote branches across the application, enhancing both user experience and backend reliability. This includes adding structured logging to all Git remote operations in Rust, refining UI components to handle remote-specific deletion flows, and providing clear status/error feedback in sync settings.

- Standardized styling for action toggles (Stash, Branch, Explorer) using consistent dimensions.
- Implemented detailed console logging for all Git remote operations on the backend.
- Refined dialogs and sync settings to provide explicit status and error messages during remote management.

src/lib/components/BranchDeleteConfirmDialog.svelte

@@ -18,7 +18,8 @@
     onClose = () => {},
   }: Props = $props();
 
-  let title = $derived(force ? "Force delete branch?" : "Delete branch?");
+  let title = $derived(branch.remote ? "Delete remote branch?" : force ? "Force delete branch?" : "Delete branch?");
+  let remoteParts = $derived(branch.remote ? branch.name.split(/\/(.+)/) : []);
 
 </script>
 
@@ -26,7 +27,7 @@
   <div class="dialog branch-delete-dialog" role="dialog" aria-modal="true" aria-label={title}>
     <header class="dialog-header">
       <div>
-        <span class="eyebrow">{force ? "Force delete" : "Delete branch"}</span>
+        <span class="eyebrow">{branch.remote ? "Remote branch" : force ? "Force delete" : "Delete branch"}</span>
         <p class="dialog-title">{title}</p>
       </div>
       <button class="btn-sm dialog-close" type="button" onclick={onClose} disabled={isBusy} aria-label="Close">
@@ -41,7 +42,9 @@
 
       <div class="discard-confirm-copy">
         <p>
-          {#if force}
+          {#if branch.remote}
+            Delete this branch from the remote server?
+          {:else if force}
             This branch is not fully merged. Force deleting removes the branch pointer even if some commits are only reachable from this branch.
           {:else}
             Delete this local branch from the repository?
@@ -52,7 +55,9 @@
           {branch.name}
         </code>
         <p class="discard-warning-text">
-          {#if force}
+          {#if branch.remote}
+            This affects everyone using <strong>{remoteParts[0] || "the remote"}</strong>. Your local commits and local branches are kept.
+          {:else if force}
             Make sure you no longer need the unique commits on this branch.
           {:else}
             Git will refuse if the branch is not fully merged.
@@ -69,7 +74,7 @@
         {:else}
           <Trash2 size={15} aria-hidden="true" />
         {/if}
-        {force ? "Force delete" : "Delete"}
+        {branch.remote ? "Delete from remote" : force ? "Force delete" : "Delete"}
       </button>
     </footer>
   </div>