fix(terminal): key project action state by one canonical directory

The terminal store keyed its directories by trimming trailing slashes,
while the new sidebar activity indicator and the whole-server session
grouping keyed the same folder with the project-action normalizer, which
also rewrites backslashes. On Windows that split one project into two
namespaces: the sidebar reconciled server sessions under "C:/repo" while
the terminal panel and the project actions button worked under "C:\repo",
so the running-action indicator never lit up, adopted tabs were duplicated
and a stop recorded in one namespace did not guard reconciliation in the
other. The project actions button also read the store map directly with a
path normalized somewhere else, missing its own directory entry.

All terminal directory keys now come from normalizeTerminalDirectory in
lib/pathNormalization, and store reads go through getDirectoryState.

packages/ui/src/stores/useTerminalStore.ts

@@ -5,6 +5,7 @@ import { z } from 'zod';
 
 import { getSafeSessionStorage } from '@/stores/utils/safeStorage';
 import type { TerminalServerSession } from '@/lib/api/types';
+import { normalizeTerminalDirectory } from '@/lib/pathNormalization';
 
 export interface TerminalChunk {
   id: number;
@@ -228,13 +229,7 @@ const tabIdNumber = (tabId: string): number | null => {
   return Number.isFinite(num) ? num : null;
 };
 
-function normalizeDirectory(dir: string): string {
-  let normalized = dir.trim();
-  while (normalized.length > 1 && normalized.endsWith('/')) {
-    normalized = normalized.slice(0, -1);
-  }
-  return normalized;
-}
+const normalizeDirectory = normalizeTerminalDirectory;
 
 const actionMutationRevisionKey = (directory: string, actionId: string): string => `${directory}\u0000${actionId}`;