fix(web): keep escapes, UNC roots, and truncated cwd honest

Four review findings. Two are defects the previous two rounds introduced,
which the existing tests did not catch:

A backspace erased raw bytes, so one landing after an SGR reset ate part of
the escape: `\x1b[31mabc\x1b[0m\b\bXY` left `\x1b[` and repainted the rest of
the line with whatever the remainder parsed as. Backspaces now resolve over
VISIBLE characters — a CSI sequence is one indivisible unit a backspace steps
over on its way to the last printed character, so the surviving text keeps
the color its run authored.

The cwd normalizer popped a UNC share root: `\\server\share` with a `..`
became `/server`, losing the separators too. A UNC path's server and share
are its root, and Windows cannot climb above a share, so they are split off
and the remainder collapses against that root.

The other two are gaps the earlier fixes left:

The render-site fallback row still passed the args-derived summary, so any
terminal-declaring tool without its own keyed row (`terminal_send`) lost the
contract's above-card description. It now prefers the description exactly as
BashRow does.

A settled call read `call?.cwd`, which cannot tell "the call omitted a cwd"
from "the paging window dropped the call head". The second case has no cwd
anywhere and the original call may have used an explicit workdir, so it now
draws a bare `$` instead of naming the session workspace.

packages/client/ui-primitives/src/ansi.ts

@@ -114,14 +114,49 @@ function applyCarriageReturns(text: string): string {
  */
 function applyBackspaces(text: string): string {
   if (!text.includes('\u0008')) return text
-  return text.split('\n').map((line) => {
-    const kept: string[] = []
-    for (const char of line) {
-      if (char === '\u0008') kept.pop()
-      else kept.push(char)
+  return text.split('\n').map(applyBackspacesToLine).join('\n')
+}
+
+/**
+ * One line's backspaces, resolved over VISIBLE characters only. A CSI sequence
+ * moves no cursor, so it must survive intact: erasing its bytes would corrupt
+ * the sequence and repaint the rest of the output with whatever the mangled
+ * remainder parses as. The sequences are therefore held as indivisible units
+ * that a backspace steps over on its way to the last printed character, and a
+ * unit already erased stays erased so a run's own color still applies to what
+ * remains of it.
+ * @param line - one output line, still carrying its CSI sequences.
+ * @returns the line with each backspace applied to the character before it.
+ */
+function applyBackspacesToLine(line: string): string {
+  if (!line.includes('\u0008')) return line
+  const units: { text: string; visible: boolean }[] = []
+  // Same shape anser splits on: CSI ... final byte. Matched here so a sequence
+  // is one unit rather than a run of erasable characters.
+  const csi = /\u001b\[[\u0030-\u003f]*[\u0020-\u002f]*[\u0040-\u007e]/g
+  let at = 0
+  for (const match of line.matchAll(csi)) {
+    for (const char of line.slice(at, match.index)) units.push({ text: char, visible: true })
+    units.push({ text: match[0], visible: false })
+    at = match.index + match[0].length
+  }
+  for (const char of line.slice(at)) units.push({ text: char, visible: true })
+
+  const kept: { text: string; visible: boolean }[] = []
+  for (const unit of units) {
+    if (unit.visible && unit.text === '\u0008') {
+      // Walk back past any escapes to the last printed character and drop it,
+      // keeping those escapes so the surviving text stays styled as authored.
+      for (let index = kept.length - 1; index >= 0; index--) {
+        if (kept[index]?.visible !== true) continue
+        kept.splice(index, 1)
+        break
+      }
+      continue
     }
-    return kept.join('')
-  }).join('\n')
+    kept.push(unit)
+  }
+  return kept.map(unit => unit.text).join('')
 }
 
 /**

packages/client/ui-primitives/tests/ansi.spec.ts

@@ -184,6 +184,24 @@ describe('parseAnsiLines: backspaces', () => {
     ])
   })
 
+  it('steps over an SGR sequence instead of erasing its bytes', () => {
+    // `abc` reset then two backspaces then `XY`: erasing the reset's bytes would
+    // corrupt it and repaint the rest of the line with whatever the remainder
+    // parses as. The visible result is `aXY`, still red, with the reset intact.
+    expect(parseAnsiLines(`${sgr('31', 'abc')}${BS}${BS}XY`)).toEqual([[
+      { text: 'a', style: { color: 'var(--dsw-alias-state-error-primary)' } },
+      { text: 'XY', style: undefined },
+    ]])
+  })
+
+  it('erases across a style boundary without dropping the styles between', () => {
+    // The backspace reaches back past the reset to the last printed character.
+    expect(parseAnsiLines(`${sgr('32', 'ok')}${ESC}[31m${BS}bad`)).toEqual([[
+      { text: 'o', style: { color: 'var(--dsw-alias-state-success-primary)' } },
+      { text: 'bad', style: { color: 'var(--dsw-alias-state-error-primary)' } },
+    ]])
+  })
+
   it('applies the overwrite after a carriage-return redraw, not before', () => {
     // The redraw wins first; the backspace then erases inside what survived.
     expect(onlySpan(`old\rnew${BS}`)).toEqual({ text: 'ne', style: undefined })