fix(web-presenter): dim-Markdown web fallback, memoize fetch conversion, strip note residue

Route a `web` result card's raw-content fallback through the TUI's dim
Markdown path (render() only recognized `card: 'generic'` as markdown
content, so web fallback rendered as bare undimmed text).

Memoize renderFetchOutput per (result, maxOutputChars) so the registry's
twin output.render / output.presentationMeta calls on the same frozen
result run one HTML->markdown conversion instead of two.

Remove the trailing `</content>`/`</invoke>` protocol residue from both
sides of the web-result-card Agent Note and re-record the pairing.

packages/ui/tui/src/components/transcript.ts

@@ -389,10 +389,17 @@ export class ToolCardComponent implements Component {
     const glyph = this.result === undefined ? '○' : '●'
     const rawBody = this.renderBody()
     const view = this.resultView ?? this.callView
-    const genericContent = view.card === 'generic' ? view.content ?? this.result?.content : undefined
-    const unknownXml = this.definition === undefined && genericContent !== undefined
+    // A generic card's own content, or a web card's fallback to the raw result
+    // content (the `web` view carries no `content` copy), both render as one dim
+    // Markdown block below, so links/lists/headings keep the unified dim styling
+    // rather than reading as bare text. Terminal and diff cards own their body
+    // styling, so they are excluded (mirrors renderBody's fallback at line 511).
+    const markdownContent = view.card === 'generic'
+      ? view.content ?? this.result?.content
+      : view.card === 'web' ? this.result?.content : undefined
+    const unknownXml = this.definition === undefined && markdownContent !== undefined
       ? renderUnknownXml(
-        displayText(contentText(genericContent)),
+        displayText(contentText(markdownContent)),
         this.maxOutputLines,
         this.visibility === 'expanded',
         displayText,
@@ -405,7 +412,7 @@ export class ToolCardComponent implements Component {
     // A generic card renders title and result as one Markdown document, so the
     // document's own block spacing is preserved, then dims every row — the whole
     // card body reads as one dim block under the status-colored header.
-    const body = unknownXml ?? (genericContent !== undefined && rawBody.lines.length > 0
+    const body = unknownXml ?? (markdownContent !== undefined && rawBody.lines.length > 0
       ? this.dimBody(rawBody, width)
       : [...rawBody.prelude, ...rawBody.lines])
     const visibleBody = unknownXml !== undefined || this.visibility === 'expanded'
@@ -503,8 +510,9 @@ export class ToolCardComponent implements Component {
       return { prelude: [...hunks, footer], lines: [] }
     }
     // The web card carries no `content` copy, so a `web` result view falls back
-    // to the raw result content here (`view.card === 'generic'` narrows the union,
-    // mirroring line 392).
+    // to the raw result content here (`view.card === 'generic'` narrows the
+    // generic union arm; a `web` card takes the same fallback, mirroring the
+    // `markdownContent` selection in render()).
     const content = (view.card === 'generic' ? view.content : undefined) ?? this.result?.content
     const prelude: string[] = []
     const lines: string[] = []

packages/ui/tui/tests/tui.spec.ts

@@ -4375,6 +4375,14 @@ describe('tool cards and surface replay', () => {
       name: 'knownXml', description: '', parameters: {}, output: UNUSED_TOOL_OUTPUT, execute: async () => [],
       presentCall: () => ({ card: 'generic', title: 'Known XML' }),
     },
+    // A web card carries no `content` copy, so it falls back to the raw result
+    // content, which must still render through the dim Markdown path (bold
+    // markers stripped) rather than as bare text.
+    webCard: {
+      name: 'webCard', description: '', parameters: {}, output: UNUSED_TOOL_OUTPUT, execute: async () => [],
+      presentCall: () => ({ card: 'generic', title: 'Fetch page', kind: 'fetch' }),
+      presentResult: () => ({ card: 'web', kind: 'fetch', title: 'https://a.test', url: 'https://a.test', statusCode: 200, truncated: false }),
+    },
   }
 
   it('uses terminal, diff, generic, fallback, and collapsed tool presentations', async () => {
@@ -4395,6 +4403,7 @@ describe('tool cards and surface replay', () => {
       ['c11', 'terminalResult', '{}'],
       ['c12', 'symbolic', '{}'],
       ['c13', 'knownXml', '{}'],
+      ['c16', 'webCard', '{}'],
     ] as const
     appendAssistant(result.session, [
       { type: 'text', text: 'Calling tools' },
@@ -4488,6 +4497,14 @@ describe('tool cards and surface replay', () => {
         isError: false,
       }),
     }, { surfaceOp: 'append' })
+    result.session.append('tool/result', {
+      turn: 1, step: 1,
+      message: createToolResultMessage({
+        callId: 'c16' as never,
+        content: [{ type: 'text', text: 'Fetched **body** text' }],
+        isError: false,
+      }),
+    }, { surfaceOp: 'append' })
     result.session.append('tool/result', {
       turn: 1,
       step: 1,
@@ -4537,6 +4554,11 @@ describe('tool cards and surface replay', () => {
     expect(output).toContain('Empty card')
     expect(output).toContain('converted terminal')
     expect(output).toContain('<known><value>literal</value></known>')
+    // A web card carries no `content` copy, so it falls back to the raw result
+    // content, which still renders through the dim Markdown path: the bold
+    // markers are stripped rather than shown literally.
+    expect(output).toContain('Fetched body text')
+    expect(output).not.toContain('Fetched **body** text')
     expect(output).toContain('path: /tmp/a.txt')
     expect(output).toContain('line (number="1"): hello')
     expect(output).not.toContain('<result>')