fix(studio): redirect moved dashboard routes (#51056)

I added permanent redirects for the moved Dashboard routes that still
send visitors to 404s. Project and organization identifiers carry
through, while the old project billing path opens the organization
picker for billing.

**Note:** The bare `/dashboard/project` path redirects straight to
Organizations instead of the `/dashboard/projects` hop named in
GROWTH-1295, since `/projects` already redirects there.

## To test

Tested on the Studio preview:
- [x] Requested the eight old Dashboard paths in GROWTH-1295 while
signed out. Each returned 308 with the specified destination.
- [ ] Request bare `/dashboard/project` while signed out on the latest
preview. Expect a single 308 to `/dashboard/organizations`.
- [x] Requested a project backup path with a query string. The
destination kept the project ref and query string.
- [x] Requested `/dashboard/project/_`. The project picker remained
reachable.

## Linear
- fixes GROWTH-1295


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

## Summary by CodeRabbit

* **Bug Fixes**
* Added permanent redirects for legacy Studio routes covering account
and project pages, backups, email templates, edge-function logs,
secrets, and billing settings.
* Redirects preserve incoming query parameters and URL fragments; the
project selector remains unaffected.

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

apps/studio/redirects.shared.test.ts

@@ -51,6 +51,44 @@ describe('preserveQueryAndHash', () => {
   })
 })
 
+describe('matchRedirect moved Studio routes', () => {
+  const ref = 'abcdefghijklmnopqrst'
+
+  it.each([
+    [`/project/${ref}/database/backups`, `/project/${ref}/database/backups/scheduled`],
+    [`/project/${ref}/auth/emails`, `/project/${ref}/auth/templates`],
+    [`/project/${ref}/logs/edge-functions`, `/project/${ref}/logs/edge-functions-logs`],
+    [`/project/${ref}/settings/vault`, `/project/${ref}/integrations/vault/secrets`],
+    [`/project/${ref}/settings/billing`, '/org/_/billing'],
+    ['/account', '/account/me'],
+    ['/org/my-org/projects', '/org/my-org'],
+    ['/project', '/organizations'],
+  ])('redirects %s to %s', (pathname, destination) => {
+    expect(matchRedirect({ pathname, search: {}, isPlatform: true })).toEqual({
+      destination,
+      permanent: true,
+    })
+  })
+
+  it('preserves the incoming query and hash', () => {
+    expect(
+      matchRedirect({
+        pathname: `/project/${ref}/database/backups`,
+        search: { source: 'bookmark' },
+        hash: 'scheduled',
+        isPlatform: true,
+      })
+    ).toEqual({
+      destination: `/project/${ref}/database/backups/scheduled?source=bookmark#scheduled`,
+      permanent: true,
+    })
+  })
+
+  it('does not intercept the project selector', () => {
+    expect(matchRedirect({ pathname: '/project/_', search: {}, isPlatform: true })).toBeNull()
+  })
+})
+
 describe('matchRedirect query/hash preservation', () => {
   it('redirects the legacy compute and disk route while preserving query and hash', () => {
     expect(

apps/studio/redirects.shared.ts

@@ -41,6 +41,30 @@ export const SELF_HOSTED_REDIRECTS: StudioRedirect[] = [
 ]
 
 export const SHARED_REDIRECTS: StudioRedirect[] = [
+  { source: '/project', destination: '/organizations', permanent: true },
+  { source: '/account', destination: '/account/me', permanent: true },
+  { source: '/org/:slug/projects', destination: '/org/:slug', permanent: true },
+  {
+    source: '/project/:ref/database/backups',
+    destination: '/project/:ref/database/backups/scheduled',
+    permanent: true,
+  },
+  {
+    source: '/project/:ref/auth/emails',
+    destination: '/project/:ref/auth/templates',
+    permanent: true,
+  },
+  {
+    source: '/project/:ref/logs/edge-functions',
+    destination: '/project/:ref/logs/edge-functions-logs',
+    permanent: true,
+  },
+  {
+    source: '/project/:ref/settings/vault',
+    destination: '/project/:ref/integrations/vault/secrets',
+    permanent: true,
+  },
+  { source: '/project/:ref/settings/billing', destination: '/org/_/billing', permanent: true },
   { source: '/project/:ref/auth', destination: '/project/:ref/auth/users', permanent: true },
   {
     source: '/project/:ref/auth/advanced',