feat(ui-models): tag the provider rows this deployment declared

A row's stored profile could not tell a hand-declared gateway from a
shipped provider whose models someone narrowed — both look identical from
outside the adapter — so the Models page had no way to mark the routes a
deployment added itself.

The directory entry now carries `declared`, answered by the owning adapter
against its own installed catalog, and the page renders a Custom tag from
it. Absence stays "this adapter draws no such distinction" rather than
"shipped", so a route no adapter claims is labelled neither way.

Also records the default-route work's Agent Note and the e2e evidence for
all three changes: the composer switch writing the section, and the Models
page declaring a route with its own reasoning effort.

packages/llm/llm-pi-ai/tests/catalog.spec.ts

@@ -124,13 +124,22 @@ describe('hand-declared providers', () => {
   it('joins the configurable-provider directory so a settings surface can reach it', async () => {
     const server = await mockServer([])
     const ctx = await harness(gateway(`${server.url}/v1`))
+    const directory = ctx.llm.listConfigurableProviders()
 
-    expect(ctx.llm.listConfigurableProviders()).toContainEqual({
+    expect(directory).toContainEqual({
       provider: 'acme-gateway',
       displayName: 'Acme Gateway',
       settingsNs: 'llm-pi-ai',
       settingsPath: ['providers', 'acme-gateway'],
+      // Nothing in the installed catalog answers for this route, which is what
+      // configuration surfaces mark as a route this deployment declared.
+      declared: true,
     })
+    // Membership of the catalog, not of the settings document: a shipped
+    // provider carries a stored profile the moment anyone corrects it.
+    expect(directory.filter(entry => entry.declared).map(entry => entry.provider))
+      .toEqual(['acme-gateway'])
+    expect(directory.find(entry => entry.provider === 'deepseek')?.declared).toBe(false)
   })
 
   it('sizes a model the catalog cannot describe from the route\u2019s own fallbacks', () => {

packages/llm/llm-pi-ai/tests/dynamic-config.spec.ts

@@ -68,6 +68,7 @@ describe('request-level dynamic profiles', () => {
       displayName: 'openai',
       settingsNs: 'llm-pi-ai',
       settingsPath: ['providers', 'openai'],
+      declared: false,
     })
     await ctx.settings.update(NS, {
       providers: { deepseek: { apiKeyEnv: 'PI_DYNAMIC_KEY', baseURL: server.url } },