fix(studio): add a keyboard shortcut for the Compute sidebar item (#50361)

The Compute entry in the project sidebar was the only product route
without a `shortcutId`, so it had neither a `G`-chord nor the hover
keybind tooltip every sibling gets. Bound it to `G` then `C` (previously
unused) and added a test asserting every product route carries a
shortcut.

Fixes FE-4389

<!-- This is an auto-generated comment: release notes by coderabbit.ai
-->

## Summary by CodeRabbit

- **New Features**
- Added a keyboard shortcut for quick navigation to Compute: press
**G**, then **C**.
- Compute navigation now includes a discoverable shortcut for consistent
access from the navigation interface.

<!-- end of auto-generated comment: release notes by coderabbit.ai -->

apps/studio/components/layouts/Navigation/NavigationBar/NavigationBar.utils.test.tsx

@@ -90,6 +90,11 @@ describe('generateProductRoutes', () => {
     expect(keys(generateProductRoutes(REF, activeProject, { compute: true }))).toContain('compute')
   })
 
+  it('gives every product route a navigation shortcut', () => {
+    const routes = generateProductRoutes(REF, activeProject, { compute: true })
+    expect(routes.filter((r) => !r.shortcutId)).toEqual([])
+  })
+
   it('excludes auth when auth feature is disabled', () => {
     const routes = generateProductRoutes(REF, activeProject, { auth: false })
     expect(keys(routes)).not.toContain('auth')

apps/studio/components/layouts/Navigation/NavigationBar/NavigationBar.utils.tsx

@@ -178,6 +178,7 @@ export const generateProductRoutes = (
             icon: <Compute size={ICON_SIZE} strokeWidth={ICON_STROKE_WIDTH} />,
             link: ref && (isProjectBuilding ? buildingUrl : `/project/${ref}/compute`),
             isNew: true,
+            shortcutId: SHORTCUT_IDS.NAV_COMPUTE,
           },
         ]
       : []),

apps/studio/state/shortcuts/registry.ts

@@ -59,6 +59,7 @@ import { STORAGE_NAV_SHORTCUT_IDS, storageNavRegistry } from './registry/storage
 import { TABLE_EDITOR_SHORTCUT_IDS, tableEditorRegistry } from './registry/table-editor'
 import { UNIFIED_LOGS_SHORTCUT_IDS, unifiedLogsRegistry } from './registry/unified-logs'
 import { ShortcutDefinition } from './types'
+import { PRODUCT_NAME } from '@/lib/constants/compute'
 
 /**
  * The canonical list of shortcut IDs. Add new shortcuts here first, then
@@ -96,6 +97,7 @@ export const SHORTCUT_IDS = {
   NAV_AUTH: 'nav.auth',
   NAV_STORAGE: 'nav.storage',
   NAV_FUNCTIONS: 'nav.functions',
+  NAV_COMPUTE: 'nav.compute',
   NAV_REALTIME: 'nav.realtime',
   NAV_ADVISORS: 'nav.advisors',
   NAV_OBSERVABILITY: 'nav.observability',
@@ -391,6 +393,13 @@ export const SHORTCUT_DEFINITIONS: Record<ShortcutId, ShortcutDefinition> = {
     showInSettings: false,
     referenceGroup: SHORTCUT_REFERENCE_GROUPS.NAVIGATION_GLOBAL,
   },
+  [SHORTCUT_IDS.NAV_COMPUTE]: {
+    id: SHORTCUT_IDS.NAV_COMPUTE,
+    label: `Go to ${PRODUCT_NAME}`,
+    sequence: ['G', 'C'],
+    showInSettings: false,
+    referenceGroup: SHORTCUT_REFERENCE_GROUPS.NAVIGATION_GLOBAL,
+  },
   [SHORTCUT_IDS.NAV_REALTIME]: {
     id: SHORTCUT_IDS.NAV_REALTIME,
     label: 'Go to Realtime',